13. Solve the following logarithmic equations: log_(4)x-log_(4)(x+2)=3

Name: 13. Solve the Following Logarithmic Equations: Log_(4)x-log_(4)(x+2)=3
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Question

13. Solve the following logarithmic equations: log_(4)x-log_(4)(x+2)=3

Answer 1

Combine logarithms: log4(x/(x+2)) = 3Rewrite in exponential form: x/(x+2) = 43 = 64Solve for x: x = 64(x+2) => x = 64x + 128 => -63x = 128 => x = -128/63

Question

13. Solve the following logarithmic equations: log_(4)x-log_(4)(x+2)=3

Solution

Answer