What is the answer to 5^{3x}=4^{2x+5} ?

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

Solve for x: 5^{3x}=4^{2x+5}

The solution is x=(10ln(2))/(3ln(5)-4ln(2))

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

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

Decimal Notation

x = 3.37178 \dots

Solution steps

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

Apply exponent rules

3 x ln (5) = (2 x + 5) ln (4)

Solve

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

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

2^{x} + 8^{x} = 130

4^{- 2 x} = 7

2^{6 x} = 0.125

1 6^{x} = x^{8}

6^{3 x - 1} = 3 6^{x + 4}

What is the answer to 5^{3x}=4^{2x+5} ?
The answer to 5^{3x}=4^{2x+5} is x=(10ln(2))/(3ln(5)-4ln(2))
Solve for x: 5^{3x}=4^{2x+5}
The solution is x=(10ln(2))/(3ln(5)-4ln(2))