What is the answer to log_{10}(4x)+13=14 ?

The answer to log_{10}(4x)+13=14 is x= 5/2

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log_{10}(4x)+13=14

lo g_{10} (4 x) + 13 = 14

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

lo g_{10} (4 x) + 13 = 14

Move

13

to the right side

lo g_{10} (4 x) = 1

Apply log rules

4 x = 10

Solve

4 x = 10 : x = \frac{5}{2}

x = \frac{5}{2}

Verify Solutions:

x = \frac{5}{2}

True

The solution is

x = \frac{5}{2}

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

lo g_{n} (\frac{1}{8}) = - 3

ln (x + 2) = 14

lo g_{10} (x) = 2.0957

ln (x + 2) + ln (x + 1) = ln (4 x + 14)

What is the answer to log_{10}(4x)+13=14 ?
The answer to log_{10}(4x)+13=14 is x= 5/2
Solve for x: log_{10}(4x)+13=14
The solution is x= 5/2