how to do logarithms - Wikitechy

log10(10) + log10(100) + log10(1000) + log10(10000) + log10(100000) is equal to ?

Editor — Wed, 18 Aug 2021 01:14:48 +0000

log₁₀(10) + log₁₀(100) + log₁₀(1000) + log₁₀(10000) + log₁₀(100000) is equal to ?

A. 15

B. log 11111

C. log10 (1111)

D. 14 log10 (100)

Here are some values to base ten represented as logarithms :

1 + 2 + 3 + 4 + 5 = 15

Editor — Wed, 18 Aug 2021 01:04:45 +0000

What is the value of log(ab²) – log(ac) + log(abc⁴) – 3log(bc) ?

A. 2

B. 0

C. -2

D. 1

log(ab²) – log(ac) + log abc⁴ – 3log(bc)
= log ab² – logac + log abc⁴ – log b³c³
= log_a (ab²/ac) x (abc⁴/b³c³)
= log_aa = 1

Editor — Wed, 18 Aug 2021 01:01:52 +0000

log_xY = 100 and log₂x = 10, then the value of y is ?

A. 2¹⁰

B. 2¹⁰⁰⁰

C. 2¹⁰⁰

D. 2¹⁰⁰⁰⁰

log₂x = 10 ⇒ x = 2¹⁰.
log_xY= 100
⇒ y = x¹⁰⁰
⇒ y = (2¹⁰)¹⁰⁰ [put value of x] ⇒ y = 2¹⁰⁰⁰