What is the answer to 13^{-7x}-8=85 ?

The answer to 13^{-7x}-8=85 is x=-(ln(93))/(7ln(13))

Solve for x: 13^{-7x}-8=85

The solution is x=-(ln(93))/(7ln(13))

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1 3^{- 7 x} - 8 = 85

x = - \frac{ln ( 93 )}{7 ln ( 13 )}

Decimal Notation

x = - 0.25244 \dots

Solution steps

1 3^{- 7 x} - 8 = 85

Move

8

to the right side

1 3^{- 7 x} = 93

Apply exponent rules

- 7 x ln (13) = ln (93)

Solve

- 7 x ln (13) = ln (93) : x = - \frac{ln ( 93 )}{7 ln ( 13 )}

x = - \frac{ln ( 93 )}{7 ln ( 13 )}

e^{x} = 2 e^{\frac{x}{2}} + 15

e^{- 10} = \frac{1}{e ^{x}}

3^{- 4 x + 3} = 3

(\frac{1}{125})^{3 x - 2} = 625

e^{(l n (0.3)) t} = 0.6

What is the answer to 13^{-7x}-8=85 ?
The answer to 13^{-7x}-8=85 is x=-(ln(93))/(7ln(13))
Solve for x: 13^{-7x}-8=85
The solution is x=-(ln(93))/(7ln(13))