What is the answer to log_{10}(x)5=log_{10}(5x) ?

The answer to log_{10}(x)5=log_{10}(5x) is x=10^{(log_{10}(5))/4}

Solve for x: log_{10}(x)5=log_{10}(5x)

The solution is x=10^{(log_{10}(5))/4}

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lo g_{10} (x) 5 = lo g_{10} (5 x)

x = 1 0^{\frac{l o g _{10} ( 5 )}{4}}

Decimal

x = 1.49534 \dots

Solution steps

lo g_{10} (x) \cdot 5 = lo g_{10} (5 x)

Apply log rules

x = 1 0^{\frac{l o g _{10} ( 5 )}{4}}

Verify Solutions:

x = 1 0^{\frac{l o g _{10} ( 5 )}{4}}

True

The solution is

x = 1 0^{\frac{l o g _{10} ( 5 )}{4}}

2 lo g_{5} (6 x + 5) = 6

5 + 2 ln (x) = 8

lo g_{b} (15) = 1

2 lo g_{10} (5 - x) - 10 = - 6

4 x ln (x) + 2 x = 0

What is the answer to log_{10}(x)5=log_{10}(5x) ?
The answer to log_{10}(x)5=log_{10}(5x) is x=10^{(log_{10}(5))/4}
Solve for x: log_{10}(x)5=log_{10}(5x)
The solution is x=10^{(log_{10}(5))/4}