exam Maths Puzzle Numerical Ability

Solve the equation: 1n x = 1n 2 + 1n(3x-1)
I know the answer is 2/5 from the answers page.
I need to know how the solution was solved.
Thank you.

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exam Other Question

PLEASE HELP ASAP
In using mathematical induction to prove 8+10+12+...+(2n+6) = n^2+7n, the P k+1 statement is 8+10+12+...+(2k+6) = (k+1)+7(k+1)
Is this true or false
THANK YOU Could someone help me on this problem?

I need to rewrite the equation 4x- 10y = 11 as a function of x.

Thank you,
Sher