What is the answer to 7^{6x+7}=3 ?

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

Solve for x: 7^{6x+7}=3

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

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7^{6 x + 7} = 3

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

Decimal Notation

x = - 1.07257 \dots

Solution steps

7^{6 x + 7} = 3

Apply exponent rules

(6 x + 7) ln (7) = ln (3)

Solve

(6 x + 7) ln (7) = ln (3) : x = \frac{ln ( 3 ) - 7 ln ( 7 )}{6 ln ( 7 )}

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

6^{x} - 28 = - 8

1500 = 159 + 28 e^{0.02 t}

4 = 1 0^{x}

2 5^{x - 2} = 12 5^{x - 1}

3^{x - 2} = 5

What is the answer to 7^{6x+7}=3 ?
The answer to 7^{6x+7}=3 is x=(ln(3)-7ln(7))/(6ln(7))
Solve for x: 7^{6x+7}=3
The solution is x=(ln(3)-7ln(7))/(6ln(7))