Question

Given logx 2=p and logx 7=q , express log7 4x² in terms of p and q​

Answer 1

[2(p + 1)]/q

Explanation:

logx 2 = p

logx 7 = q

log7 4x² = log7 (2x)²

= (logx (2x)²)/(logx 7)

= (2 logx 2x)/(logx 7)

= (2 logx 2 + 2 logx x)/(logx 7)

= (2p + 2)/q

= [2(p + 1)]/q