What is the answer to 5^{x-9}=3 ?

The answer to 5^{x-9}=3 is x=(ln(3))/(ln(5))+9

Solve for x: 5^{x-9}=3

The solution is x=(ln(3))/(ln(5))+9

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5^{x - 9} = 3

x = \frac{ln ( 3 )}{ln ( 5 )} + 9

Decimal Notation

x = 9.68260 \dots

Solution steps

5^{x - 9} = 3

Apply exponent rules

(x - 9) ln (5) = ln (3)

Solve

(x - 9) ln (5) = ln (3) : x = \frac{ln ( 3 )}{ln ( 5 )} + 9

x = \frac{ln ( 3 )}{ln ( 5 )} + 9

1.0 9^{x} = 1.5

4^{- 3 v - 2} = 4^{- v}

e^{12 x} = 2

4 = \frac{1}{2} e^{- 1.2 x}

2^{3 x + 2} = 1024

What is the answer to 5^{x-9}=3 ?
The answer to 5^{x-9}=3 is x=(ln(3))/(ln(5))+9
Solve for x: 5^{x-9}=3
The solution is x=(ln(3))/(ln(5))+9