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

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

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

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

x = 10

Solution steps

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

Move

3

to the right side

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

Move

5 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

ln (x + 2) + ln (x + 1) = 1

ln (x) = x - 1

ln (2 x) - ln (x - 1) = 15

ln (x) + ln (x + 3) = ln (10)

lo g_{2} (\frac{y}{3}) = 4

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