13 points for anyone that can solve the issue
please show working

Step-by-step explanation:

1.  u^2 = x^(p+q)

v^2 = x^(p-q)

Show that logx u + logx v = p

From statement 1

p + q = logx u^2 = 2 logx u   (by the laws of logs)

Similarly:

p - q = logx v^2 = 2 logx v

So 2 logx U + 2 logx v  = p+q + (p - q)

2 (logx u + logx v)  =  2p

logx u + logx v = p.

Also 2(logx u - logx v)  =  p+q - (p - q) = 2q

and logx u - logx v = q.

2.  ∛(8a^3b^3) / √(1/25 * a^4b^7)* (16√(a^4b^6))^-1/2

= 2ab / 1/5a^2b^7/2 *  (16a^2b^3)^-1/2

= 2ab / 1/5a^2b^7/2 * 1 / 4ab^3/2

= 2ab / 4/5 a^3 b^5

=  5ab / 2 a^3 b^5

= 5/(2a^2b^4).

Step-by-step explanation:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

5050

hope this !