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Logarithmic Functions

Problems

Solving Exponential and Logarithmic Equations

How to Cite This SparkNote

Problem : Solve for x : 2x+4 = 16 .

x = 0 .

Problem : Solve for x : 32x = 12 .

x 1.13 .

Problem : Solve for x : 6·74-x = 54 .

x 2.87 .

Problem : Solve for x : 4x(2x-2) = 128 .

x = 3 .

Problem : Solve for x : log8 x + log8(7x - 9) = .

x = .

Problem : Solve for x : 2 log3 x + log3(2x - 1) - log3 x = 1 .

x = .

Problem : Solve for x : log-x(x 2 - 9x - 9) = 3 .

x = - 3 .

Problem : Find the inverse of f (x) = 2x+3 .

f -1(x) = log2 x - 3 .

Problem : Find the inverse of f (x) = 3x-4 + 5 .

f -1(x) = log3(x - 5) + 4 .

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