What is the answer to 2^{x-8}=3 ?

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

Solve for x: 2^{x-8}=3

The solution is x=(ln(3))/(ln(2))+8

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2^{x - 8} = 3

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

Decimal Notation

x = 9.58496 \dots

Solution steps

2^{x - 8} = 3

Apply exponent rules

(x - 8) ln (2) = ln (3)

Solve

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

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

2^{x - 8} = 9

2^{x - 8} = 7

3^{2 x - 3} = 5^{3 x - 1}

7^{x - 2} - 3^{2 x + 1} = 0

m, n = 2^{m - 1}

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