Question

how do you expand: log base 10 square root of x^3

Answer 1

1.5 log_10 (x)

Answer 2

\[\log_{10} \sqrt{x^3}\]

How do you expand that?

Answer 3

It's the same as log base 10 of x to the 3/2 power, which then equals what I wrote above.

Answer 4

are you sure? can you explain?

Answer 5

log a^b = b log a

Answer 6

for you, b is 3/2

Answer 7

because square root of x^3 is x^(3/2)

Answer 8

\[ \sqrt{x} = x^{1/2} \]

Answer 9

so it would be 3/2 long base 10 x?

Answer 10

Yup.

Answer 11

okay thanks