What is the answer to log_{5}(2x-23)=log_{5}(x-5) ?

The answer to log_{5}(2x-23)=log_{5}(x-5) is x=18

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log_{5}(2x-23)=log_{5}(x-5)

lo g_{5} (2 x - 23) = lo g_{5} (x - 5)

x = 18

Solution steps

lo g_{5} (2 x - 23) = lo g_{5} (x - 5)

Apply log rules

2 x - 23 = x - 5

Solve

2 x - 23 = x - 5 : x = 18

x = 18

Verify Solutions:

x = 18

True

The solution is

x = 18

8 n^{2} = 64 n lo g_{2} (n)

lo g_{10} (x) = 0.4

0.24 = lo g_{10} (x)

lo g_{x} (\frac{1}{4}) = 2

lo g_{3} (x^{2} + 17) = 2

What is the answer to log_{5}(2x-23)=log_{5}(x-5) ?
The answer to log_{5}(2x-23)=log_{5}(x-5) is x=18
Solve for x: log_{5}(2x-23)=log_{5}(x-5)
The solution is x=18