Solve the equation in each of the following.log325 + log3x = 3log35

log325 + log3x = 3log35⇒ log3(25×x) = 3log35⇒ log3(25x) = log353⇒ 25x = 53 or (52)x = 53⇒ x = 5

Q7 of 124 Page 29

Solve the equation in each of the following.
log₃25 + log₃x = 3log₃5

⇒ log₃(25×x) = 3log₃5

⇒ log₃(25x) = log₃5³

⇒ 25x = 5³ or (5²)x = 5³

⇒ x = 5

Solve the equation in each of the following.

log₁₀5 + log₁₀(5x + 1) = log₁₀(x + 5) + 1

Solve the equation in each of the following.

4log₂x - log₂5 = log₂125

Solve the equation in each of the following.

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

Questions · 124

2. Scientific notations of real numbers and logarithms

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