What is the answer to 9/2 log_{4}(x)=7 ?

The answer to 9/2 log_{4}(x)=7 is x=4*4^{5/9}

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9/2 log_{4}(x)=7

\frac{9}{2} lo g_{4} (x) = 7

x = 4 \cdot 4^{\frac{5}{9}}

Solution steps

\frac{9}{2} lo g_{4} (x) = 7

Multiply both sides by

2

9 lo g_{4} (x) = 14

Divide both sides by

9

lo g_{4} (x) = \frac{14}{9}

Apply log rules

x = 4 \cdot 4^{\frac{5}{9}}

Verify Solutions:

x = 4 \cdot 4^{\frac{5}{9}}

True

The solution is

x = 4 \cdot 4^{\frac{5}{9}}

\frac{9}{5} lo g_{4} (x) = - 2

\frac{9}{5} lo g_{4} (x) = - 6

lo g_{2} (x) = \frac{2}{3}

lo g_{10} (lo g_{10} (a)) = - 0.4

lo g_{2} (x^{3} - 23) = 2

What is the answer to 9/2 log_{4}(x)=7 ?
The answer to 9/2 log_{4}(x)=7 is x=4*4^{5/9}
Solve for x: 9/2 log_{4}(x)=7
The solution is x=4*4^{5/9}