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

The answer to 4^{5-2x}=3^x is x=(10ln(2))/(ln(48))

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

The solution is x=(10ln(2))/(ln(48))

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

x = \frac{10 ln ( 2 )}{ln ( 48 )}

Decimal Notation

x = 1.79052 \dots

Solution steps

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

Apply exponent rules

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

Solve

(5 - 2 x) ln (4) = x ln (3) : x = \frac{10 ln ( 2 )}{ln ( 48 )}

x = \frac{10 ln ( 2 )}{ln ( 48 )}

2 (1.08)^{x} = 2.5

200 = 4^{x}

8^{4 x} = \frac{1}{2 2}

200 = 4^{t}

B (t) = 2190 \cdot e^{- 0.3 t}

What is the answer to 4^{5-2x}=3^x ?
The answer to 4^{5-2x}=3^x is x=(10ln(2))/(ln(48))
Solve for x: 4^{5-2x}=3^x
The solution is x=(10ln(2))/(ln(48))