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WAEC Mathematics 2024 Paper

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Question : 4

Total: 50

Express in index form: log

_a^x

_a^y

= 3

x + y = 3
xy = 3
xy = a $^3$
x + y = a $^3$

Solution:

Concept:

Use the product rule for logarithms, then convert the logarithmic equation to exponential form.

Explanation:

Given:

\log_a x + \log_a y = 3

By the product rule,

\log_a x + \log_a y = \log_a (xy)

So,

\log_a (xy) = 3

In index form,

\log_a m = n

means

a^n = m

Hence,

a^3 = xy

, which is the same as

xy = a^3

Answer:

C.

xy = a^3

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