What is the answer to 7^{4x}=3.9 ?

The answer to 7^{4x}=3.9 is x=(ln(3.9))/(4ln(7))

Solve for x: 7^{4x}=3.9

The solution is x=(ln(3.9))/(4ln(7))

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7^{4 x} = 3.9

x = \frac{ln ( 3.9 )}{4 ln ( 7 )}

Decimal Notation

x = 0.17485 \dots

Solution steps

7^{4 x} = 3.9

Apply exponent rules

4 x ln (7) = ln (3.9)

Solve

4 x ln (7) = ln (3.9) : x = \frac{ln ( 3.9 )}{4 ln ( 7 )}

x = \frac{ln ( 3.9 )}{4 ln ( 7 )}

y, 7 x + 6 y = e^{y}

2^{20 x + 10} = 3 2^{3 x + 6}

(0.5)^{- 25 6^{4^{x}}} = 4

5^{3 x + 2} = 1 1^{7 x - 2}

\frac{4 ^{x - 1}}{2 ^{x + 2}} = 256

What is the answer to 7^{4x}=3.9 ?
The answer to 7^{4x}=3.9 is x=(ln(3.9))/(4ln(7))
Solve for x: 7^{4x}=3.9
The solution is x=(ln(3.9))/(4ln(7))