What is the answer to 8^{-5a}-5=53 ?

The answer to 8^{-5a}-5=53 is a=-(ln(58))/(15ln(2))

Solve for a: 8^{-5a}-5=53

The solution is a=-(ln(58))/(15ln(2))

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8^{- 5 a} - 5 = 53

a = - \frac{ln ( 58 )}{15 ln ( 2 )}

Decimal Notation

a = - 0.39053 \dots

Solution steps

8^{- 5 a} - 5 = 53

Move

5

to the right side

8^{- 5 a} = 58

Apply exponent rules

- 5 a ln (8) = ln (58)

Solve

- 5 a ln (8) = ln (58) : a = - \frac{ln ( 58 )}{15 ln ( 2 )}

a = - \frac{ln ( 58 )}{15 ln ( 2 )}

y, x = y e^{y}

m = - 3 (5)^{n + 4} - \frac{1}{2}

3^{x} = 45

8^{y} = 16

9 \cdot 3^{4} \cdot 3^{x} = 3^{7}

What is the answer to 8^{-5a}-5=53 ?
The answer to 8^{-5a}-5=53 is a=-(ln(58))/(15ln(2))
Solve for a: 8^{-5a}-5=53
The solution is a=-(ln(58))/(15ln(2))