What is the answer to 5^{x-3}=8 ?

The answer to 5^{x-3}=8 is x=(3ln(2))/(ln(5))+3

Solve for x: 5^{x-3}=8

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

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5^{x - 3} = 8

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

Decimal Notation

x = 4.29202 \dots

Solution steps

5^{x - 3} = 8

Apply exponent rules

(x - 3) ln (5) = ln (8)

Solve

(x - 3) ln (5) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( 5 )} + 3

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

3^{x + 2} = 9^{2 x - 1}

2^{2 x + 3} = 2^{x + 1} + 3

5^{x - 4} = 7^{5 x + 2}

\frac{( 4 ^{x} + 4 )}{5} = 2^{x}

What is the answer to 5^{x-3}=8 ?
The answer to 5^{x-3}=8 is x=(3ln(2))/(ln(5))+3
Solve for x: 5^{x-3}=8
The solution is x=(3ln(2))/(ln(5))+3