What is the answer to 3^{x-2}=5 ?

The answer to 3^{x-2}=5 is x=(ln(5))/(ln(3))+2

Solve for x: 3^{x-2}=5

The solution is x=(ln(5))/(ln(3))+2

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3^{x - 2} = 5

x = \frac{ln ( 5 )}{ln ( 3 )} + 2

Decimal Notation

x = 3.46497 \dots

Solution steps

3^{x - 2} = 5

Apply exponent rules

(x - 2) ln (3) = ln (5)

Solve

(x - 2) ln (3) = ln (5) : x = \frac{ln ( 5 )}{ln ( 3 )} + 2

x = \frac{ln ( 5 )}{ln ( 3 )} + 2

\frac{6 ^{10}}{6 ^{x}} = 6^{6}

1.728 = 1. 2^{x}

3^{4 - 5 x} = 2^{x + 4}

2^{5 x + 5} + 2^{5 x + 1} = 17

e^{- x} (x^{2} - 5 x + 2) = 0

What is the answer to 3^{x-2}=5 ?
The answer to 3^{x-2}=5 is x=(ln(5))/(ln(3))+2
Solve for x: 3^{x-2}=5
The solution is x=(ln(5))/(ln(3))+2