Evaluate the following without using log tables :
log 8 + log 25 + 2 log 3 − log 18

Question

Evaluate the following without using log tables : log 8 + log 25 + 2 log 3 − log 18

KnowledgeBoat · Accepted Answer

Given, ⇒ log 8 + log 25 + 2 log 3 − log 18 ⇒ log (8 × 25) + log 32 - log 18 ⇒ log (200) + log 9 - log 18 ⇒ log (200 × 9) - log 18 ⇒ log (1800) - log 18 ⇒ log ⇒ log 100 ⇒ log 102 ⇒ 2 log 10 ⇒ 2 × 1 ⇒ 2. Hence, log 8 + log 25 + 2 log 3 − log 18 = 2.

Mathematics

Evaluate the following without using log tables :
log 8 + log 25 + 2 log 3 − log 18

Logarithms

Related Questions

Given log₁₀ x = a, log₁₀ y = b,
(i) Write down 10^{a + 1} in terms of x.
(ii) Write down 10^2b in terms of y.
(iii) If log₁₀ P = 2a − b, express P in terms of x and y.

Mathematics

Evaluate the following without using log tables :log 8 + log 25 + 2 log 3 − log 18

Logarithms

Related Questions

Given log10 x = a, log10 y = b,(i) Write down 10a + 1 in terms of x.(ii) Write down 102b in terms of y.(iii) If log10 P = 2a − b, express P in terms of x and y.

Evaluate the following without using log tables :
log 8 + log 25 + 2 log 3 − log 18

Given log₁₀ x = a, log₁₀ y = b,
(i) Write down 10^{a + 1} in terms of x.
(ii) Write down 10^2b in terms of y.
(iii) If log₁₀ P = 2a − b, express P in terms of x and y.