Question

What would log(10^3x^7)= ?
Would it be 3+7log(x)?

Answer 1

\[\log(10^{3}x^{7})\]

Answer 2

no first apply product rule and then power rule

Answer 3

product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\]
addition <----> multiplication

power rule \[\large\rm log_b x^y = y \log_b x\]

Answer 4

\[so 3\log(10)+7\log(x) \]

Answer 5

Oh

Answer 6

yes looks good

Answer 7

Would that then be \[21\log(x)\]

Answer 8

no hmm you can't multiply 3 and 7

Answer 9

See none of these look right to me, unless I am forgetting something.

Answer 10

huh hmm

Answer 11

3+7log(x) was the only one I thought could be possible..Even thought I knew it wasn't right, not like what we wrote above.

Answer 12

log10= 1

Answer 13

@ArifL so the 3 log(10) would be 3 (1)?

Answer 14

yup

Answer 15

1+7log(x)?

Answer 16

what is 3x1

Answer 17

oh 3.. haha 3+7log(x)

Answer 18

@ArifL Thank you! :D

Answer 19

welcome