What is the answer to 4^{x+7}=5 ?

The answer to 4^{x+7}=5 is x=(ln(5))/(2ln(2))-7

Solve for x: 4^{x+7}=5

The solution is x=(ln(5))/(2ln(2))-7

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4^{x + 7} = 5

x = \frac{ln ( 5 )}{2 ln ( 2 )} - 7

Decimal Notation

x = - 5.83903 \dots

Solution steps

4^{x + 7} = 5

Apply exponent rules

(x + 7) ln (4) = ln (5)

Solve

(x + 7) ln (4) = ln (5) : x = \frac{ln ( 5 )}{2 ln ( 2 )} - 7

x = \frac{ln ( 5 )}{2 ln ( 2 )} - 7

7^{(3 - x)} = 5^{(x + 1)}

2 (3^{7 - 2 x}) + 48 = 102

2^{3 x - 13} = \frac{1}{2 ^{4}}

1.0 1^{n} = 2

ln (2^{3 x + 1}) = 5

What is the answer to 4^{x+7}=5 ?
The answer to 4^{x+7}=5 is x=(ln(5))/(2ln(2))-7
Solve for x: 4^{x+7}=5
The solution is x=(ln(5))/(2ln(2))-7