What is the answer to 6^{-5x-7}=70 ?

The answer to 6^{-5x-7}=70 is x=-(ln(70)+7ln(6))/(5ln(6))

Solve for x: 6^{-5x-7}=70

The solution is x=-(ln(70)+7ln(6))/(5ln(6))

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6^{- 5 x - 7} = 70

x = - \frac{ln ( 70 ) + 7 ln ( 6 )}{5 ln ( 6 )}

Decimal

x = - 1.87422 \dots

Solution steps

6^{- 5 x - 7} = 70

Apply exponent rules

(- 5 x - 7) ln (6) = ln (70)

Solve

(- 5 x - 7) ln (6) = ln (70) : x = - \frac{ln ( 70 ) + 7 ln ( 6 )}{5 ln ( 6 )}

x = - \frac{ln ( 70 ) + 7 ln ( 6 )}{5 ln ( 6 )}

8 e^{8 x} - e^{- x} = 0

2^{x + 1} = e^{1 - x}

e^{9 x} = 2

4^{2 x + 5} = 8^{3 x}

x, 2 7^{x - 4} = 81

What is the answer to 6^{-5x-7}=70 ?
The answer to 6^{-5x-7}=70 is x=-(ln(70)+7ln(6))/(5ln(6))
Solve for x: 6^{-5x-7}=70
The solution is x=-(ln(70)+7ln(6))/(5ln(6))