What is the answer to log_{8}((x+5)/(x-2))=1 ?

The answer to log_{8}((x+5)/(x-2))=1 is x=3

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log_{8}((x+5)/(x-2))=1

lo g_{8} (\frac{x + 5}{x - 2}) = 1

x = 3

Solution steps

lo g_{8} (\frac{x + 5}{x - 2}) = 1

Apply log rules

\frac{x + 5}{x - 2} = 8^{1}

Multiply both sides by

x - 2

\frac{x + 5}{x - 2} (x - 2) = 8^{1} (x - 2)

Simplify

x + 5 = 8 (x - 2)

Solve

x + 5 = 8 (x - 2) : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

4 - 3 ln (x) = - 8

2 ln (x - 1) - ln (x - 3) = 1

lo g_{4} (x^{4}) = 4

lo g_{10} (x^{2} + 16) = 2

y, x = lo g_{10} (y)

What is the answer to log_{8}((x+5)/(x-2))=1 ?
The answer to log_{8}((x+5)/(x-2))=1 is x=3
Solve for x: log_{8}((x+5)/(x-2))=1
The solution is x=3