What is the answer to log_{5}(x+23)+log_{5}(x+3)=3 ?

The answer to log_{5}(x+23)+log_{5}(x+3)=3 is x=2

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log_{5}(x+23)+log_{5}(x+3)=3

lo g_{5} (x + 23) + lo g_{5} (x + 3) = 3

x = 2

Solution steps

lo g_{5} (x + 23) + lo g_{5} (x + 3) = 3

Apply log rules

(x + 23) (x + 3) = 125

Solve

(x + 23) (x + 3) = 125 : x = 2, x = - 28

x = 2, x = - 28

Verify Solutions:

x = 2

True

, x = - 28

False

The solution is

x = 2

ln (x) = 4.6

lo g_{10} (x) = 3 + lo g_{10} (36)

6 ln (5 x + 4) - 3 = - 15

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

b, a = lo g_{10} (b)

What is the answer to log_{5}(x+23)+log_{5}(x+3)=3 ?
The answer to log_{5}(x+23)+log_{5}(x+3)=3 is x=2
Solve for x: log_{5}(x+23)+log_{5}(x+3)=3
The solution is x=2