Database - Indices

Ahm97sic SG

For “O” level Add Maths Students to practise

Question

Find the values of k and t if

3²ⁿ⁺¹ − 3²ⁿ⁻¹

---------------- = k

5 × 3^nt

Thank you for your kind attention.

Regards,

ahm97sic

Ahm97sic SG

Question

Find the values of k and t if

3²ⁿ⁺¹ − 3²ⁿ⁻¹

---------------- = k

5 × 3^nt

^Solution

^{(3^2n)(3^1) -
(3^2n)(3^-1)}

^{------------------------------
= k}

^{5 x 3^nt}

^{3^2n[ 3 - 1/3] = 5k x
3^nt}

^{By
comparison,}

^{3^2n =
3^nt
and
8/3 = 5k}

^{2n =
nt and
8/15 = k}

^{t =
2
and
k = 8/15}

^{Thank you for your kind
attention.}

^Regards,

^ahm97sic

Ahm97sic SG

For "O" level add maths students to practise,

Question

Solve the equation

9 [9^(1/x)] - 16 [ 15^(1/x)] = 5 [25^(1/x)]