What is the answer to 7^{x-10}=25 ?

The answer to 7^{x-10}=25 is x=(2ln(5))/(ln(7))+10

Solve for x: 7^{x-10}=25

The solution is x=(2ln(5))/(ln(7))+10

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7^{x - 10} = 25

x = \frac{2 ln ( 5 )}{ln ( 7 )} + 10

Decimal Notation

x = 11.65417 \dots

Solution steps

7^{x - 10} = 25

Apply exponent rules

(x - 10) ln (7) = ln (25)

Solve

(x - 10) ln (7) = ln (25) : x = \frac{2 ln ( 5 )}{ln ( 7 )} + 10

x = \frac{2 ln ( 5 )}{ln ( 7 )} + 10

8^{(x^{2} + 2 x - 15)} = 1

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

9^{x} = 1

4^{x} + 4^{x - 1} + 4^{x - 2} = 336

e^{2 x} - 2 e^{x} = 0

What is the answer to 7^{x-10}=25 ?
The answer to 7^{x-10}=25 is x=(2ln(5))/(ln(7))+10
Solve for x: 7^{x-10}=25
The solution is x=(2ln(5))/(ln(7))+10