We read your photo as:

Given that x y = 6, prove that x 3 + _y 3 = 12.

May 5, 2026Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

Here are the solutions to the problems:

a) (i) Given that $\log_x y = 6$ , prove that $\log_x 3 + \log_y 3 = 12$ .

Use the change of base formula for logarithms.
The change of base formula states that $\log_b a = \frac{\log_c a}{\log_c b}$ . We can use this to express $\log_y 3$ in terms of base $x$ :
$\log_y 3 = \frac{\log_x 3}{\log_x y}$
Substitute the given value of $\log_x y$ .
We are

Was this helpful?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.