Q7 of 124 Page 29

Solve the equation in each of the following.

log₂x + log₄x + log₈x =

Here LHS is

⇒ log₂x + log₂²x + log₂³x

⇒

(∵)

⇒

(∵ log_aMⁿ = nlog_aM)

⇒

Now we equate LHS to the RHS i.e.

⇒

⇒ logx2 = 1 or x1 = 2 or x = 2

Solve the equation in each of the following.

log₄(x + 4) + log₄8 = 2

Solve the equation in each of the following.

log₆(x + 4) - log₆(x - 1) = 2

Solve the equation in each of the following.

log₄(8log₂x) = 2

Solve the equation in each of the following.

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

Questions · 124

2. Scientific notations of real numbers and logarithms

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