What is the answer to 86*10^{x/4}=89 ?

The answer to 86*10^{x/4}=89 is x=(4ln(89/86))/(ln(10))

Solve for x: 86*10^{x/4}=89

The solution is x=(4ln(89/86))/(ln(10))

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86 \cdot 1 0^{\frac{x}{4}} = 89

x = \frac{4 ln ( \frac{89}{86} )}{ln ( 10 )}

Decimal Notation

x = 0.05956 \dots

Solution steps

86 \cdot 1 0^{\frac{x}{4}} = 89

Divide both sides by

86

1 0^{\frac{x}{4}} = \frac{89}{86}

Apply exponent rules

\frac{x}{4} ln (10) = ln (\frac{89}{86})

Solve

\frac{x}{4} ln (10) = ln (\frac{89}{86}) : x = \frac{4 ln ( \frac{89}{86} )}{ln ( 10 )}

x = \frac{4 ln ( \frac{89}{86} )}{ln ( 10 )}

3^{4 x - 7} = \frac{3 ^{2 x}}{3}

y, x = e^{7 y}

6^{x^{2} - 1} = 6^{1 - x^{2}}

k, 0.536585365854 = e^{7 k}

e^{x} = 64

What is the answer to 86*10^{x/4}=89 ?
The answer to 86*10^{x/4}=89 is x=(4ln(89/86))/(ln(10))
Solve for x: 86*10^{x/4}=89
The solution is x=(4ln(89/86))/(ln(10))