Question

Solve for x. Type your answer as an integer, like this: 13

log25x – log5 = 2

Answer 1

http://www.teachengineering.org/collection/van_/lessons/van_bmd_less2/log_properties_lesson2_fig2.jpg

look at the product property
can you rewrite the left-hand-side?

Answer 2

ahemm, rather

look at the quotient property
can you rewrite the left-hand-side?

Answer 3

so basically its the opposite of subtraction which is your suppose to divide?

Answer 4

the internal values, yes

Answer 5

is that \[\log_{25}x-\log_{5}x ??\]

Answer 6

25 divided by 5 = 5

Answer 7

yes @kirbykirby

Answer 8

right so log(25x/5) = log(5x)
so log(5x) = 2

now exponentialize both the base of the log, or
use the cancellation rules as
$$
log(5x) = 2\\
\text{using cancellation rules}\\
10^{log(5x)} = 10^2\\
5x = 10^2
$$

Answer 9

the answer is 2

Answer 10

@jdoe0001

Answer 11

bear in mind all I did for the cancellation rule is
$$\large {
log_\color{red}{{10}}(5x) = 2\\
\text{using cancellation rules}\\
\color{red}{10}^{log_{\color{red}{10}}(5x)} = \color{red}{10}^2\\
5x = 10^2 }
$$

Answer 12

10 ^2=100/5=50

Answer 13

100/5 = 50?

Answer 14

sorry lol 20

Answer 15

hehe

Answer 16

would you mind elping me with a few more problems @jdoe0001

Answer 17

sure, just post them in the channel, so we can all help and revise each other :)