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Logarithms

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Logarithms

1 2 3 4			Aktuelle Aktivität

Prove that 1/(x+1) + 1/(y+1) + 1/(z+1) = 1 if x = log_(a) bc, y = log_(b) ca, z = log_(c) ab Maths Platter	0	0	3d

Show that log_(b) a^(3) log log_(c) b^(3) log log_(a) c^(3)=27 Maths Platter	0	0	3d

Show that 1/x + 1/z = 2/y if aˣ = bʸ = cᶻ and b² = ac Maths Platter	0	0	3d

Show that log (x + y) = log 3 + 1/2 log x + 1/2 log y if x² + y² = 7xy Maths Platter	0	0	3d

Show that x² + y² = 3xy if log (x - y) = 1/2 (log x + log y) Maths Platter	0	0	3d

Show that x = y if log((x + y)/2) = 1/2 (log x + log y) Maths Platter	0	0	3d

Show x/y + y/x = 11 if log((x - y)/3) = 1/2 (log x + log y) Maths Platter	0	0	3d

Show x² + y² = 27xy if log((x - y)/5) = 1/2 (log x + log y) Maths Platter	0	0	3d

Show x = y if log (x + y) = 1/2 log x + log √y + log 2 Maths Platter	0	0	3d

Show log((a + b)/3) = 1/3 (log a + log b) if a³ + b³ = ab(27 - 3a - 3b) Maths Platter	0	0	3d

Show log (x + y) = 1/2 (log x + log y + log 3) if x² - xy + y² = 0 Maths Platter	0	0	3d

Show log (x - y) = 1/2 (log x + log y) if x² + y² = 3xy Maths Platter	0	0	3d

Show log((x + y)/3) = 1/2 (log x + log y) if x² + y² = 7xy Maths Platter	0	0	3d

Solve logₓ3 + logₓ8 + logₓ6 = 2 Maths Platter	0	0	3d

Solve log₁₀x + log₁₀(x-9) = 1 Maths Platter	0	0	3d

Solve log₁₀(x+3)² + log₁₀x² = 2 Maths Platter	0	0	3d

Solve log x = log 3 + 3 log 2 - 2 log 4 Maths Platter	0	0	3d

If log((x+y)/5) = 1/2(log x + log y) then prove x/y + y/x = 23 Maths Platter	0	0	3d

If log((x+y)/3) = 1/2(log x + log y) then prove x² + y² = 7xy Maths Platter	0	0	3d

Solve log₂x + log₄x + log₈x - 11 Maths Platter	0	0	4d

Prove that xᵇ⁺ᶜyᶜ⁺ᵃzᵃ⁺ᵇ = 1 if log(x)/(b-c) = log(y)/(c-a) = log(z)/(a-b) Maths Platter	0	0	4d

Prove that xʳxᵖx^q = 1 of log(x)/(p-q) = log(y)/(q-r) = log(z)/(r-p) Maths Platter	0	0	4d

Express x in terms of y if log₁₀x + 2 log₁₀y = 3 Maths Platter	0	0	4d

Express x in terms of y if log₃x = y log₃2 + 1 Maths Platter	0	0	4d

Express x in terms of y if 2 log₁₀x + log₁₀y = -2 Maths Platter	0	0	4d

Express x in terms of y if 2 log₁₀x - 3 log₁₀y = 2 Maths Platter	0	0	4d

Express x in terms of y if log₅x - 2 log₅y = 3 Maths Platter	0	0	4d

Express x in terms of y if logₐx = logₐy + 1 Maths Platter	0	0	4d

Find x if logₓ27 = 6 Maths Platter	0	0	4d

Find x if log₄x = 1/2 Maths Platter	0	0	4d

1 2 3 4

„Statistik ist die Grammatik der Wissenschaft.“

Karl Pearson

Kostenlose Mathe- und Statistikvideos zum Lernen!

Logarithms

Prove that 1/(x+1) + 1/(y+1) + 1/(z+1) = 1 if x = log_(a) bc, y = log_(b) ca, z = log_(c) ab

Show that log_(b) a^(3) log log_(c) b^(3) log log_(a) c^(3)=27

Show that 1/x + 1/z = 2/y if aˣ = bʸ = cᶻ and b² = ac

Show that log (x + y) = log 3 + 1/2 log x + 1/2 log y if x² + y² = 7xy

Show that x² + y² = 3xy if log (x - y) = 1/2 (log x + log y)

Show that x = y if log((x + y)/2) = 1/2 (log x + log y)

Show x/y + y/x = 11 if log((x - y)/3) = 1/2 (log x + log y)

Show x² + y² = 27xy if log((x - y)/5) = 1/2 (log x + log y)

Show x = y if log (x + y) = 1/2 log x + log √y + log 2

Show log((a + b)/3) = 1/3 (log a + log b) if a³ + b³ = ab(27 - 3a - 3b)

Show log (x + y) = 1/2 (log x + log y + log 3) if x² - xy + y² = 0

Show log (x - y) = 1/2 (log x + log y) if x² + y² = 3xy

Show log((x + y)/3) = 1/2 (log x + log y) if x² + y² = 7xy

Solve logₓ3 + logₓ8 + logₓ6 = 2

Solve log₁₀x + log₁₀(x-9) = 1

Solve log₁₀(x+3)² + log₁₀x² = 2

Solve log x = log 3 + 3 log 2 - 2 log 4

If log((x+y)/5) = 1/2(log x + log y) then prove x/y + y/x = 23

If log((x+y)/3) = 1/2(log x + log y) then prove x² + y² = 7xy

Solve log₂x + log₄x + log₈x - 11

Prove that xᵇ⁺ᶜyᶜ⁺ᵃzᵃ⁺ᵇ = 1 if log(x)/(b-c) = log(y)/(c-a) = log(z)/(a-b)

Prove that xʳxᵖx^q = 1 of log(x)/(p-q) = log(y)/(q-r) = log(z)/(r-p)

Express x in terms of y if log₁₀x + 2 log₁₀y = 3

Express x in terms of y if log₃x = y log₃2 + 1

Express x in terms of y if 2 log₁₀x + log₁₀y = -2

Express x in terms of y if 2 log₁₀x - 3 log₁₀y = 2

Express x in terms of y if log₅x - 2 log₅y = 3

Express x in terms of y if logₐx = logₐy + 1

Find x if logₓ27 = 6

Find x if log₄x = 1/2