Mathematics OpenStudy (anonymous):

i need help with this log problem. 2logbase4(5x)=3 OpenStudy (anonymous):

Try it first, then I'll help. OpenStudy (anonymous): OpenStudy (anonymous):

well is it log4^3/2=5x? OpenStudy (anonymous):

Almost OpenStudy (anonymous):

But why's the log still there? OpenStudy (anonymous):

see here $2\log_{4} (5x)$ is equal to 3 OpenStudy (anonymous):

oh right. so it would be 4^3/2=5x and then i would have to figure what x is OpenStudy (anonymous): OpenStudy (anonymous):

i'm not sure what to do with the fraction OpenStudy (anonymous):

now see according to log law $k \log_{a} (n)=\log_{a}(n^k)$ OpenStudy (anonymous):

x^(a/b)=$(\sqrt[b]{x})^{a}$ OpenStudy (anonymous):

how do i figure x with that? OpenStudy (anonymous):

I gave you a general formula. What is 4^(3/2) using that formula? OpenStudy (anonymous):

yes he is right ANNAZH don't be dependent on any1 fully now try it ur self any problem tell OpenStudy (anonymous):

do i cube or divide 5? im stuck OpenStudy (anonymous):

Leave 5 alone. Forget it for a second. OpenStudy (anonymous):

What is 4^(3/2)? From the formula I gave you above to solve any expression of the form x^(a/b), like this one. OpenStudy (anonymous):

would i changed radical 4 into 2 and then since it has the expo of 2, it is four? OpenStudy (anonymous):

So we have 4^(3/2)...take the square root of 4....and then raise it to the 3rd power. What do you get? OpenStudy (anonymous):

8? OpenStudy (anonymous):

Good. So 5x=8, and thus x=..? OpenStudy (anonymous):

8/5 OpenStudy (anonymous):

ahh yes . thanks OpenStudy (anonymous):

$log_b(a) = k \iff b^k = a$ Also $a\cdot log (b) = log(b^a)$ Therefore $2log_4(5x)=3$$\implies log_4([5x]^2) = 3$$\implies log_4(25x^2) = 3$$\implies 25x^2 = 4^3$$\implies x = \sqrt{4^3 \over 25}$$\implies x = {2^3 \over 5} = {8 \over 5}$ OpenStudy (anonymous):

Nicely done both of you.

Latest Questions CourtneyWatson: what is 84+43-58? @thetaurus21
38 minutes ago 0 Replies 0 Medals Foreverangel: What is the cosine equation of the function shown? Enter any phase shift as its smallest multiple from the fundamental period.
1 hour ago 1 Reply 0 Medals Trickjoker: Can someone PLEASE explain anime to me? the All SUbjects chat think I am joking.
1 hour ago 12 Replies 0 Medals Bakerluv: An investment account that compounds interest started with a principle of 1,712.36 and after some time was now \$6,022.
2 hours ago 0 Replies 0 Medals Trickjoker: I got an audition with Disney! LOOK AT THIS THO!!! AUDITIONS ***Acting Modeling Singing Dancing*** *** A GUEST FROM THE HIT DISNEY SHOW KC UNDERCOVER WILL M
2 hours ago 0 Replies 0 Medals Serenity1jacksonsl: Whats up yall have questions for me just link them below i have been working all day to make this song and the edits and i may drop it early so download ban
2 hours ago 0 Replies 0 Medals DontCallMemug: is this good
2 hours ago 3 Replies 0 Medals june06: convert 0.07 to a reduced fraction?
3 hours ago 0 Replies 0 Medals teressa024: help me
3 hours ago 2 Replies 3 Medals Mathplayer223: chemistry
4 hours ago 3 Replies 3 Medals