Question

Express as one term= 2 log (base10) 5
- log (base10) 2 + 3 log (base10) 4 + 1 ​

Answer 1

• log a + log b = log(ab)
• log a -log b = log(a/b)
• a log x = log xᵃ

2 log₁₀ 5 - log₁₀ 2 + 3 log₁₀ 4 + 1

log₁₀ 5² - log₁₀ 2 + log₁₀ 4² + 1

log₁₀ (25 * 16/2) + 1

log₁₀ (200) + 1

log₁₀2 + 3

= 0.30+3

= 3.3