What is the answer to 7^{x-5}=8 ?

The answer to 7^{x-5}=8 is x=(3ln(2))/(ln(7))+5

Solve for x: 7^{x-5}=8

The solution is x=(3ln(2))/(ln(7))+5

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7^{x - 5} = 8

x = \frac{3 ln ( 2 )}{ln ( 7 )} + 5

Decimal Notation

x = 6.06862 \dots

Solution steps

7^{x - 5} = 8

Apply exponent rules

(x - 5) ln (7) = ln (8)

Solve

(x - 5) ln (7) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( 7 )} + 5

x = \frac{3 ln ( 2 )}{ln ( 7 )} + 5

48 \cdot 2^{\frac{x}{3}} = 48

5^{x + 3} = 25

120 e^{2 x} = 75 e^{3 x}

1 2^{x^{2} - 2 x + 3} = 1728

x, e^{4 - 4 x} = 3

What is the answer to 7^{x-5}=8 ?
The answer to 7^{x-5}=8 is x=(3ln(2))/(ln(7))+5
Solve for x: 7^{x-5}=8
The solution is x=(3ln(2))/(ln(7))+5