logarithm problems and solutions - Wikitechy

If log 125 / log 5 = x, then x is equal to ?

Editor — Wed, 18 Aug 2021 01:18:49 +0000

If log 125 / log 5 = x, then x is equal to ?

A. 2

B. 3

C. 4

D. 1/2

log 125 / log 5 = x.
log 5³ / log 5 = x
x = 3 log5 / log5
= 3

Editor — Wed, 18 Aug 2021 01:11:30 +0000

If 10^0.3010 = 2, then find the value of log0.125 (125) ?

A. 699 / 301

B. – 699 / 301

C. – 1

D. – 2

10^0.3010 = 2 ,
take log base 10 both sides ,
log₁₀10^0.3010 = log₁₀2
0.3010 = log₁₀2

Given :
log_0.125125 = log_125/1000125
= log_0.55 = 1 / log₅0.5
= 1 / -log₅2
= -log₁₀5 / log₁₀2
= -2.321 [ log5 = 0.6989 and log2 = 0.3010]

Editor — Wed, 18 Aug 2021 01:05:50 +0000

The value of log 9/8 – log 27/32 + log 3/4 is ?

A . 0

B . 1

C . 2

D . 3

Given:
= log [ { (9 / 8) / (27 / 32) } x 3 / 4) ] = log [ (9 / 8) x (3 / 4) x (32 / 27) ] = log 1
= 0