What is the answer to solvefor x,4^{5x+4}=3 ?

The answer to solvefor x,4^{5x+4}=3 is x=(ln(3)-8ln(2))/(10ln(2))

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solvefor x,4^{5x+4}=3

solve for

x, 4^{5 x + 4} = 3

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{10 ln ( 2 )}

Decimal Notation

x = - 0.64150 \dots

Solution steps

4^{5 x + 4} = 3

Apply exponent rules

(5 x + 4) ln (4) = ln (3)

Solve

(5 x + 4) ln (4) = ln (3) : x = \frac{ln ( 3 ) - 8 ln ( 2 )}{10 ln ( 2 )}

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{10 ln ( 2 )}

2^{2 x} - 5 (2^{x}) = - 4

4.7 = 3 (1 + 0.23)^{n}

x, - y = e^{3 x}

16 = 16 e^{34 x} + 5

\frac{2}{3} = (\frac{2}{3})^{x}

What is the answer to solvefor x,4^{5x+4}=3 ?
The answer to solvefor x,4^{5x+4}=3 is x=(ln(3)-8ln(2))/(10ln(2))