What is the answer to 7^{-8a}+10=95 ?

The answer to 7^{-8a}+10=95 is a=-(ln(85))/(8ln(7))

Solve for a: 7^{-8a}+10=95

The solution is a=-(ln(85))/(8ln(7))

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7^{- 8 a} + 10 = 95

a = - \frac{ln ( 85 )}{8 ln ( 7 )}

Decimal Notation

a = - 0.28538 \dots

Solution steps

7^{- 8 a} + 10 = 95

Move

10

to the right side

7^{- 8 a} = 85

Apply exponent rules

- 8 a ln (7) = ln (85)

Solve

- 8 a ln (7) = ln (85) : a = - \frac{ln ( 85 )}{8 ln ( 7 )}

a = - \frac{ln ( 85 )}{8 ln ( 7 )}

5^{2 x - 3} = 16

5^{2 x - 3} = 17

e^{2 x} - 3 = k

8 = (\frac{1}{4})^{x}

3^{x + 2} \cdot 8^{x - 1} = 30

What is the answer to 7^{-8a}+10=95 ?
The answer to 7^{-8a}+10=95 is a=-(ln(85))/(8ln(7))
Solve for a: 7^{-8a}+10=95
The solution is a=-(ln(85))/(8ln(7))