What is the answer to 5log_{9}(a)=log_{9}(x) ?

The answer to 5log_{9}(a)=log_{9}(x) is x=a^5 {a>0}

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5log_{9}(a)=log_{9}(x)

5 lo g_{9} (a) = lo g_{9} (x)

x = a^{5} {a > 0}

Solution steps

5 lo g_{9} (a) = lo g_{9} (x)

Apply log rules

a^{5} = x

Switch sides

x = a^{5}

Verify Solutions:

x = a^{5} {a > 0}

The solution is

x = a^{5} {a > 0}

lo g_{x} (3) + lo g_{x} (27) = 2

x, f = lo g_{g} (x)

lo g_{10} (10 a) = 1.5

10 \cdot lo g_{10} (x^{2}) = 2

- lo g_{10} (x) = 11.66

What is the answer to 5log_{9}(a)=log_{9}(x) ?
The answer to 5log_{9}(a)=log_{9}(x) is x=a^5 {a>0}