What is the answer to 16(2.9)^x=(6.4)^x ?

The answer to 16(2.9)^x=(6.4)^x is x=(4ln(2))/(ln(6.4)-ln(2.9))

Solve for x: 16(2.9)^x=(6.4)^x

The solution is x=(4ln(2))/(ln(6.4)-ln(2.9))

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16 (2.9)^{x} = (6.4)^{x}

x = \frac{4 ln ( 2 )}{ln ( 6.4 ) - ln ( 2.9 )}

Decimal Notation

x = 3.50256 \dots

Solution steps

16 (2.9)^{x} = (6.4)^{x}

Apply exponent rules

ln (16) + x ln (2.9) = x ln (6.4)

Solve

ln (16) + x ln (2.9) = x ln (6.4) : x = \frac{4 ln ( 2 )}{ln ( 6.4 ) - ln ( 2.9 )}

x = \frac{4 ln ( 2 )}{ln ( 6.4 ) - ln ( 2.9 )}

5^{x} = \frac{1}{125}

n, a = p (1 + i)^{n}

3^{2 y + 1} = 7^{y}

\frac{( 2 ^{x} + 1 )}{( 2 ^{x} - 1 )} = 5

\frac{( 7 ^{3 - 2 x} )}{( 7 ^{7 - 5 x} )} = 4 9^{3 x - 14}

What is the answer to 16(2.9)^x=(6.4)^x ?
The answer to 16(2.9)^x=(6.4)^x is x=(4ln(2))/(ln(6.4)-ln(2.9))
Solve for x: 16(2.9)^x=(6.4)^x
The solution is x=(4ln(2))/(ln(6.4)-ln(2.9))