Wondering the answers to these:

Question

Find the value of each of the following. Leave your answers as fractions where appropriate.

[I did these myself but need to answer-check]

a) log[base4](1/8)

b) 10^(-10log3)

c) 2log[base3](9)

d) log[base3](3)^(2x)

ans:

a) -3/2

b)(1/3)^10

c) 4

d)3x

These may be wrong, please give me feedback, thx

Answer 1

a) corrrect
b) 10^(-10log3)
= 10^(log3^-10
= 3^-10 ...... using the property a^log_ak = k

Answer 2

c) correct

d) log₃ 3^(2x)
= 2x log₃ 3
= 2x(1)
= 2x

Answer 3

656÷566