Q7 of 124 Page 29

Solve the equation in each of the following.

⇒

(∵ log_a(M ÷ N) = log_aM - log_aN)

⇒

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

⇒

⇒ 5x - 2 = 3(x + 4)

⇒ 5x - 2 = 3x + 12

⇒ 5x - 3x = 12 + 2

⇒ 2x = 14

⇒ x = 7

Solve the equation in each of the following.

4log₂x - log₂5 = log₂125

Solve the equation in each of the following.

log₃25 + log₃x = 3log₃5

Given log_a2 = x, log_a 3 = y and log_a 5 = z. Find the value in each of the following in terms of x, y and z.

(i) log_a15 (ii) log_a8 (iii) log_a30

(iv) (v) (vi) log_a1.5

Prove the following equations.

log₁₀1600 = 2 + 4log₁₀2

Questions · 124

2. Scientific notations of real numbers and logarithms

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