What is the answer to -3*3^{8x}=-7 ?

The answer to -3*3^{8x}=-7 is x=(ln(7)-ln(3))/(8ln(3))

Solve for x: -3*3^{8x}=-7

The solution is x=(ln(7)-ln(3))/(8ln(3))

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- 3 \cdot 3^{8 x} = - 7

x = \frac{ln ( 7 ) - ln ( 3 )}{8 ln ( 3 )}

Decimal Notation

x = 0.09640 \dots

Solution steps

- 3 \cdot 3^{8 x} = - 7

Apply exponent rules

(8 x + 1) ln (3) = ln (7)

Solve

(8 x + 1) ln (3) = ln (7) : x = \frac{ln ( 7 ) - ln ( 3 )}{8 ln ( 3 )}

x = \frac{ln ( 7 ) - ln ( 3 )}{8 ln ( 3 )}

2^{x^{2} + 9 x + 33} = 3 2^{4 x + 3}

e^{x - 4} = 4

e^{x - 4} = 5

e^{x - 4} = 7

\frac{1100}{1 + 99 e ^{- 0.3 t}} = 275

What is the answer to -3*3^{8x}=-7 ?
The answer to -3*3^{8x}=-7 is x=(ln(7)-ln(3))/(8ln(3))
Solve for x: -3*3^{8x}=-7
The solution is x=(ln(7)-ln(3))/(8ln(3))