What is the answer to 4^{7x-3}=5^{2x+9} ?

The answer to 4^{7x-3}=5^{2x+9} is x=(9ln(5)+6ln(2))/(2(-ln(5)+7ln(2)))

Solve for x: 4^{7x-3}=5^{2x+9}

The solution is x=(9ln(5)+6ln(2))/(2(-ln(5)+7ln(2)))

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4^{7 x - 3} = 5^{2 x + 9}

x = \frac{9 ln ( 5 ) + 6 ln ( 2 )}{2 ( - ln ( 5 ) + 7 ln ( 2 ) )}

Decimal Notation

x = 2.87483 \dots

Solution steps

4^{7 x - 3} = 5^{2 x + 9}

Apply exponent rules

(7 x - 3) ln (4) = (2 x + 9) ln (5)

Solve

(7 x - 3) ln (4) = (2 x + 9) ln (5) : x = \frac{9 ln ( 5 ) + 6 ln ( 2 )}{2 ( - ln ( 5 ) + 7 ln ( 2 ) )}

x = \frac{9 ln ( 5 ) + 6 ln ( 2 )}{2 ( - ln ( 5 ) + 7 ln ( 2 ) )}

74 = \frac{10 + 250 ( 0.6 ) ^{t}}{8}

e^{x} = \frac{1}{x}

(\frac{2}{5})^{x} = \frac{32}{3125}

(625)^{x - 1} = (0.008)^{3 - x}

8 = 2^{b}

What is the answer to 4^{7x-3}=5^{2x+9} ?
The answer to 4^{7x-3}=5^{2x+9} is x=(9ln(5)+6ln(2))/(2(-ln(5)+7ln(2)))
Solve for x: 4^{7x-3}=5^{2x+9}
The solution is x=(9ln(5)+6ln(2))/(2(-ln(5)+7ln(2)))