What is the answer to log_{5}(2x-23)=log_{5}(x+51) ?

The answer to log_{5}(2x-23)=log_{5}(x+51) is x=74

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log_{5}(2x-23)=log_{5}(x+51)

lo g_{5} (2 x - 23) = lo g_{5} (x + 51)

x = 74

Solution steps

lo g_{5} (2 x - 23) = lo g_{5} (x + 51)

Apply log rules

2 x - 23 = x + 51

Solve

2 x - 23 = x + 51 : x = 74

x = 74

Verify Solutions:

x = 74

True

The solution is

x = 74

ln (1 - x) = 0

ln (x^{2}) = - 2

- 1 - 5 \cdot ln (x) = 0.5

0.81 = ln (x)

5 + ln (x) = \frac{14}{ln ( x )}

What is the answer to log_{5}(2x-23)=log_{5}(x+51) ?
The answer to log_{5}(2x-23)=log_{5}(x+51) is x=74
Solve for x: log_{5}(2x-23)=log_{5}(x+51)
The solution is x=74