Find x, if : x - log 48 + 3 log 2 = 1/3 log 125 - log 3

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ x - log 48 + 3 log 2 = log 125 - log 3 ⇒ x - log 48 + log 2³ = log - log 3 ⇒ x - log 48 + log 8 = log - log 3 ⇒ x - log 48 + log 8 = log 5 - log 3 ⇒ x = log 5 + log 48 - log 3 - log 8 ⇒ x = (log 5 + log 48) - (log 3 + log 8) ⇒ x = log (5 × 48) - log (3 × 8) ⇒ x = log 240 - log 24 ⇒ x = log ⇒ x = log 10 ⇒ x = 1. Hence, x = 1.

Mathematics

Find x, if : x - log 48 + 3 log 2 = 1/3 log 125 - log 3

Logarithms

Related Questions

Express log₁₀ 2 + 1 in the form of log₁₀ x.

Solve for x :
log₁₀ (x - 10) = 1

Mathematics

Find x, if : x - log 48 + 3 log 2 = 1/3 log 125 - log 3

Logarithms

Related Questions

Express log10 2 + 1 in the form of log10 x.

Solve for x :log10 (x - 10) = 1

Express log₁₀ 2 + 1 in the form of log₁₀ x.

Solve for x :
log₁₀ (x - 10) = 1