What is the answer to 3^{x-5}=7 ?

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

Solve for x: 3^{x-5}=7

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

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3^{x - 5} = 7

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

Decimal Notation

x = 6.77124 \dots

Solution steps

3^{x - 5} = 7

Apply exponent rules

(x - 5) ln (3) = ln (7)

Solve

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

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

2 (1 + 0.06)^{x} = 5 (1 + 0.008)^{x}

2^{(x - 5)} = 3

t, e^{- Y t} = x

x, 13 e^{5 x} = 13

30 = 20 + 50 \cdot 1 0^{- 0.04 m}

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