What is the answer to 6^{7x}=8 ?

The answer to 6^{7x}=8 is x=(3ln(2))/(7ln(6))

Solve for x: 6^{7x}=8

The solution is x=(3ln(2))/(7ln(6))

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6^{7 x} = 8

x = \frac{3 ln ( 2 )}{7 ln ( 6 )}

Decimal Notation

x = 0.16579 \dots

Solution steps

6^{7 x} = 8

Apply exponent rules

7 x ln (6) = ln (8)

Solve

7 x ln (6) = ln (8) : x = \frac{3 ln ( 2 )}{7 ln ( 6 )}

x = \frac{3 ln ( 2 )}{7 ln ( 6 )}

e^{x} + 20 e^{- x} = 9

7^{3 x + 7} = 7

x, (- 1)^{x} = y

a^{x} = b \cdot c

1 = - \frac{3}{3 ( 0 ) - e ^{3 x} + c _{1}}