Question

If b^p=N, then which of the following statements is also true?
A.) logbN=p
B.) logNb=p
C.) logpN=b
D.) N 1/b=p

Answer 1

2.) Simplify the expression: (a^2 b^5 c^3)^4 ( a^3 b^3)^3 (a^2 c)^2
A.) a^13 b^19 c^13
B.) 6(a^8 b^12 c^4)
C.) a^21 b^24 c^10)
D.) a^21 b^29 c^14

Answer 2

Did you know that \(\log(a^p) = p*log(a)\) and that \(\log _{a}(a)=1\)

Answer 3

I didn't

Answer 4

Well you can use it now to answer question n°1 :)

Answer 5

Thank you!

Answer 6

Welcome ! As for question n°2, we first distribute then we regroup like terms. For distribution remember that \((a^p)^q=a^{p.q}\), and when regrouping we use \(a^p*a^q=a^{p+q}\).

Answer 7

Btw, what did you get for n°1 ?

Answer 8

#1 is A?

Answer 9

Correct !

Answer 10

I don't really get #2 still

Answer 11

Well here's a simplified example:
(a^2 b^3)^4 (a^3 b^4)^2 = a^(2*4) b^(3*4) a^(3*2) b^(4*2)
= a^8 b^12 a^6 b^8
= a^(8+6) b^(12+8)
= a^14 b^20

Answer 12

Ohh okay

Answer 13

so it's b?

Answer 14

Can you show me the steps like I did ?

Answer 15

Btw it's not B.