What is the answer to 5log_{10}(x)=3+2log_{10}(x) ?

The answer to 5log_{10}(x)=3+2log_{10}(x) is x=10

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5log_{10}(x)=3+2log_{10}(x)

5 lo g_{10} (x) = 3 + 2 lo g_{10} (x)

x = 10

Solution steps

5 lo g_{10} (x) = 3 + 2 lo g_{10} (x)

Move

2 lo g_{10} (x)

to the left side

3 lo g_{10} (x) = 3

Divide both sides by

3

lo g_{10} (x) = 1

Apply log rules

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

0.567 = ln (x^{3})

lo g_{2} (x - 1) + lo g_{2} (x) = 1

lo g_{4} (x) + lo g_{4} (x^{2}) = 5

lo g_{2} (y) = 3

ln (x + 3) + ln (x + 7) = ln (77)

What is the answer to 5log_{10}(x)=3+2log_{10}(x) ?
The answer to 5log_{10}(x)=3+2log_{10}(x) is x=10
Solve for x: 5log_{10}(x)=3+2log_{10}(x)
The solution is x=10