What is the answer to log_{x}(25)=log_{5}(125)-1 ?

The answer to log_{x}(25)=log_{5}(125)-1 is x=5

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log_{x}(25)=log_{5}(125)-1

lo g_{x} (25) = lo g_{5} (125) - 1

x = 5

Solution steps

lo g_{x} (25) = lo g_{5} (125) - 1

Apply log rules

\frac{1}{lo g _{25} ( x )} = lo g_{5} (125) - 1

Multiply both sides by

lo g_{25} (x)

\frac{1}{lo g _{25} ( x )} lo g_{25} (x) = lo g_{5} (125) lo g_{25} (x) - 1 \cdot lo g_{25} (x)

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

127 = lo g_{2} (x)

12.828 = 10 \cdot ln (2 + z)

lo g_{5} (x) + lo g_{5} (x) = 1

0 = 2 ln (x) - 4

lo g_{7} (x + 9) + lo g_{7} (49) = 0

What is the answer to log_{x}(25)=log_{5}(125)-1 ?
The answer to log_{x}(25)=log_{5}(125)-1 is x=5
Solve for x: log_{x}(25)=log_{5}(125)-1
The solution is x=5