4. Find the value of x which satisfies the relation log 102 + log10(7x+1) = log10(x+93)
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The value of x is 7(ans)
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Answer:
The value of x = 7
Given problem:
4. Find the value of x which satisfies the relation log 102 + log10(7x+1) = log10(x+93)
[ in given problem the terms might be ㏒₁₀ (2) + ㏒₁₀ (7x+1) = ㏒₁₀(x+93) ]
Step-by-step explanation:
given that ㏒₁₀ (2) + ㏒₁₀ (7x+1) = ㏒₁₀(x+93)
from ㏒(ab) = ㏒a + ㏒ b
⇒ ㏒₁₀ (2) + ㏒₁₀ (7x+1) = ㏒₁₀(x+93)
⇒ ㏒₁₀ (2) (7x+1) = ㏒₁₀(x+93)
⇒ ㏒₁₀ (14x + 2) = ㏒₁₀(x+93)
⇒ 14x + 2 = x + 93 [ cancel ㏒₁₀ ]
13x = 91
x = 91/13 = 7
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