What is the answer to 5^{x-3}=137 ?

The answer to 5^{x-3}=137 is x=(ln(137))/(ln(5))+3

Solve for x: 5^{x-3}=137

The solution is x=(ln(137))/(ln(5))+3

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5^{x - 3} = 137

x = \frac{ln ( 137 )}{ln ( 5 )} + 3

Solution steps

5^{x - 3} = 137

Apply exponent rules

(x - 3) ln (5) = ln (137)

Solve

(x - 3) ln (5) = ln (137) : x = \frac{ln ( 137 )}{ln ( 5 )} + 3

x = \frac{ln ( 137 )}{ln ( 5 )} + 3

1 0^{2 x^{2} + 2 x} = 10 0^{- 6 x + 8}

(2 e)^{(x^{2} - 2)} = 4

- 4 \cdot 3^{6 w} = - 1750

x, e = e^{x y}

(\frac{1}{4})^{x} = 64

What is the answer to 5^{x-3}=137 ?
The answer to 5^{x-3}=137 is x=(ln(137))/(ln(5))+3
Solve for x: 5^{x-3}=137
The solution is x=(ln(137))/(ln(5))+3