What is the answer to 4^{x-8}=6 ?

The answer to 4^{x-8}=6 is x=(ln(6))/(2ln(2))+8

Solve for x: 4^{x-8}=6

The solution is x=(ln(6))/(2ln(2))+8

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4^{x - 8} = 6

x = \frac{ln ( 6 )}{2 ln ( 2 )} + 8

Decimal Notation

x = 9.29248 \dots

Solution steps

4^{x - 8} = 6

Apply exponent rules

(x - 8) ln (4) = ln (6)

Solve

(x - 8) ln (4) = ln (6) : x = \frac{ln ( 6 )}{2 ln ( 2 )} + 8

x = \frac{ln ( 6 )}{2 ln ( 2 )} + 8

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

3^{x - 1} + 3^{x} + 3^{x + 1} = 39

2^{x} \cdot 8^{5 x - 1} = 6 4^{x}

4^{2 x - 7} = 16

2^{2 R - 4} - 5^{2 - R} = 0

What is the answer to 4^{x-8}=6 ?
The answer to 4^{x-8}=6 is x=(ln(6))/(2ln(2))+8
Solve for x: 4^{x-8}=6
The solution is x=(ln(6))/(2ln(2))+8