What is the answer to 4^{x+5}=6 ?

The answer to 4^{x+5}=6 is x=(ln(6))/(2ln(2))-5

Solve for x: 4^{x+5}=6

The solution is x=(ln(6))/(2ln(2))-5

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4^{x + 5} = 6

x = \frac{ln ( 6 )}{2 ln ( 2 )} - 5

Decimal Notation

x = - 3.70751 \dots

Solution steps

4^{x + 5} = 6

Apply exponent rules

(x + 5) ln (4) = ln (6)

Solve

(x + 5) ln (4) = ln (6) : x = \frac{ln ( 6 )}{2 ln ( 2 )} - 5

x = \frac{ln ( 6 )}{2 ln ( 2 )} - 5

3^{x} = (\frac{1}{9})^{2 x - 10}

17 \cdot 1 0^{2 x} = 136

e^{3 - 4 x} = 9

4^{y} = \frac{1}{8}

5 (m e^{m x}) = 2 (e^{m x})

What is the answer to 4^{x+5}=6 ?
The answer to 4^{x+5}=6 is x=(ln(6))/(2ln(2))-5
Solve for x: 4^{x+5}=6
The solution is x=(ln(6))/(2ln(2))-5