What is the answer to 2(14)^x=(18)^{2x+5} ?

The answer to 2(14)^x=(18)^{2x+5} is x=(2ln(972))/(ln(7/162))

Solve for x: 2(14)^x=(18)^{2x+5}

The solution is x=(2ln(972))/(ln(7/162))

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2 (14)^{x} = (18)^{2 x + 5}

x = \frac{2 ln ( 972 )}{ln ( \frac{7}{162} )}

Decimal Notation

x = - 4.37940 \dots

Solution steps

2 (14)^{x} = (18)^{2 x + 5}

Apply exponent rules

ln (2) + x ln (14) = (2 x + 5) ln (18)

Solve

ln (2) + x ln (14) = (2 x + 5) ln (18) : x = \frac{2 ln ( 972 )}{ln ( \frac{7}{162} )}

x = \frac{2 ln ( 972 )}{ln ( \frac{7}{162} )}

5^{x} + 5^{1 - x} = 6

x, 9^{x} - \frac{1}{3 ^{y}} + 2 = 81

2^{2} x + 1 = 17. 2^{x} - 2^{3}

9^{x} + 3^{x} = 90

2^{x} = 50

What is the answer to 2(14)^x=(18)^{2x+5} ?
The answer to 2(14)^x=(18)^{2x+5} is x=(2ln(972))/(ln(7/162))
Solve for x: 2(14)^x=(18)^{2x+5}
The solution is x=(2ln(972))/(ln(7/162))