What is the answer to 2^{x+3}=5^{6x} ?

The answer to 2^{x+3}=5^{6x} is x=(3ln(2))/(6ln(5)-ln(2))

Solve for x: 2^{x+3}=5^{6x}

The solution is x=(3ln(2))/(6ln(5)-ln(2))

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2^{x + 3} = 5^{6 x}

x = \frac{3 ln ( 2 )}{6 ln ( 5 ) - ln ( 2 )}

Decimal Notation

x = 0.23199 \dots

Solution steps

2^{x + 3} = 5^{6 x}

Apply exponent rules

(x + 3) ln (2) = 6 x ln (5)

Solve

(x + 3) ln (2) = 6 x ln (5) : x = \frac{3 ln ( 2 )}{6 ln ( 5 ) - ln ( 2 )}

x = \frac{3 ln ( 2 )}{6 ln ( 5 ) - ln ( 2 )}

312 5^{x + 5} = 2 5^{3 x + 4}

4^{x + 3} = 2^{9}

21 6^{3 x} \cdot 21 6^{x} = 3 6^{3 x + 2}

e^{x} x + 4 e^{x} = 0

\frac{1}{6} = (\frac{1}{2})^{x}

What is the answer to 2^{x+3}=5^{6x} ?
The answer to 2^{x+3}=5^{6x} is x=(3ln(2))/(6ln(5)-ln(2))
Solve for x: 2^{x+3}=5^{6x}
The solution is x=(3ln(2))/(6ln(5)-ln(2))