What is the answer to 4^{3x+5}=9 ?

The answer to 4^{3x+5}=9 is x=(ln(3)-5ln(2))/(3ln(2))

Solve for x: 4^{3x+5}=9

The solution is x=(ln(3)-5ln(2))/(3ln(2))

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4^{3 x + 5} = 9

x = \frac{ln ( 3 ) - 5 ln ( 2 )}{3 ln ( 2 )}

Decimal Notation

x = - 1.13834 \dots

Solution steps

4^{3 x + 5} = 9

Apply exponent rules

(3 x + 5) ln (4) = ln (9)

Solve

(3 x + 5) ln (4) = ln (9) : x = \frac{ln ( 3 ) - 5 ln ( 2 )}{3 ln ( 2 )}

x = \frac{ln ( 3 ) - 5 ln ( 2 )}{3 ln ( 2 )}

7^{x - 1} = e^{x}

e^{7 n - 1} = 46

2^{300} + 2^{300} = 2^{x}

4 \cdot 3^{2 x} = 5^{x}

125 = 2 5^{x + 3}

What is the answer to 4^{3x+5}=9 ?
The answer to 4^{3x+5}=9 is x=(ln(3)-5ln(2))/(3ln(2))
Solve for x: 4^{3x+5}=9
The solution is x=(ln(3)-5ln(2))/(3ln(2))