Q5 of 124 Page 29

Solve the following equations.
log_x 0.001 = – 3

log_x0.001 = - 3

⇒ x ^{- 3} = 0.001

(∵ a^x = b is the exponential form of logarithmic form of log_ab)

⇒

⇒ x = 10

Solve the following equations.

log₃ y = – 2

Solve the following equations.

x + 2 log₂₇ 9 = 0

Simplify the following.

log₁₀3 + log₁₀3

Questions · 124

2. Scientific notations of real numbers and logarithms

1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10

Solve the following equations.logx 0.001 = – 3