Logarithms – 1

Logarithm
Kumar-Mathematics

Logarithms
✦ log_amn = log_am+log_an
✦ log_a(m/n)= log_am – log_an
✦log_amⁿ = n log_am
✦ log_aa = 1
✦ log_a1 = 0
✦ log_ba × log_ab=1 

✦ log_ba × log_cb = log_ca
✦ log_ba =

loga

logb

✦ log_ba =

1

log_ab

✦ a^log_ax=x

Logarithms Level - 1
Choose one correct answer for each Question. After Click Submit Correct Solutions will display down.
1 log6+log5 is expressed as
(a) log11
(b) log30
(c) log(5/6)
(d) None of these
2 log₂8 is equal to
(a) 2
(b) 8
(c) 3
(d) None of these
3 log(³²/₄) is equal to
(a) ^log32/_log4
(b) log32 – log4
(c) 2³
(d) None of these
4 log(1×2×3) is equal to
(a) log1+log2+log3
(b) log3
(c) log2
(d) None of these
5 The value of log0.0001 to the base 0.1 is
(a) – 4
(b) 4
(c) ¹/₄
(d) None of these
6 If 2logx=4log3, then 'x' is equal to
(a) 3
(b) 9
(c) 2
(d) None of these
7 log_√264 is equal to
(a) 12
(b) 6
(c) 1
(d) None of these
8 log_2√31728 is equal to
(a) 2√3
(b) 2
(c) 6
(d) None of these
9 log(¹/₈₁) to the base 9 is equal to
(a) 2
(b)¹/₂
(c)–2
(d) None of these
10 󠀫󠀫󠀬󠀬󠀭log0.0625 to the base 2 is equal to
(a)4
(b)5
(c)1
(d) None of these