If \log10 (x + 5) + \log_10 10 = 4, then the value of x is:

Logarithms Practice Test 2

Question : 22 of 39

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\log10 (x + 5) + \log_10 10 = 4

, then the value of x is:

Solution:

\log_10 (x + 5) + \log_10 10 = 4

\log_10 (x + 5) + 1= 4

⇒ \log_10 (x + 5) = 3

⇒ x + 5 = 10^3

∴x = 1000 - 5 = 995

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