What is the answer to 13^x=14^7 ?

The answer to 13^x=14^7 is x=(7ln(14))/(ln(13))

Solve for x: 13^x=14^7

The solution is x=(7ln(14))/(ln(13))

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1 3^{x} = 1 4^{7}

x = \frac{7 ln ( 14 )}{ln ( 13 )}

Decimal Notation

x = 7.20224 \dots

Solution steps

1 3^{x} = 1 4^{7}

Apply exponent rules

x ln (13) = 7 ln (14)

Solve

x ln (13) = 7 ln (14) : x = \frac{7 ln ( 14 )}{ln ( 13 )}

x = \frac{7 ln ( 14 )}{ln ( 13 )}

2 5^{x - 3} = 12 5^{4 - x}

6^{x} = 9

0.75 \cdot 1 0^{\frac{w}{3}} = 30

x^{x} = 9

\frac{17}{20} = A^{0} e^{k (600)}

What is the answer to 13^x=14^7 ?
The answer to 13^x=14^7 is x=(7ln(14))/(ln(13))
Solve for x: 13^x=14^7
The solution is x=(7ln(14))/(ln(13))