Question

What is the solution of log2x − 5 25 = 2?

Answer 1

i don't quite understand the notation....is the 2 between the log and the x small? is that 525, or something else?

Answer 2

assuming you want to solve for x:|
log(2x)=2+525
2x=e^(527)
x=[e^(527)]/2

Answer 3

agree with @mtbender74 the notation is cryptic

Answer 4

it would be 10 not e @VeritasVosLiberabit ...common log not ln

Answer 5

@mtbender74 that is again a notation problem log can be either base 10 or base e. It depends on how its defined

Answer 6

assuming, of course, that's what the question really is...and not a log base 2

Answer 7

that could also be the case, we'll just have to see what @princesssarah says

Answer 8

for all we know it could be \[log_{2}(x-5)^{25}=2\]

Answer 9

The drawing tool or equation tool may help. That way everyone will know if you mean \(\log_2x\) or \(\log (2x)\) or \(log2^x\)

Answer 10

etc.

Answer 11

did this question few minutes back, its :

\(\large \log_{2x-5} 25 = 2\)

Answer 12

change it into exponent form and compare bases

Answer 13

ahhh...that's much nicer :)

Answer 14

oh well there you go

Answer 15

wait what

Answer 16

\(\large \log_a b = c \iff b = a^c\)

Answer 17

\(\large \log_{2x-5} 25 = 2 \iff 25 = (2x-5)^2\)

Answer 18

\[(2x-5)^{\log _{2x-5}25}=(2x-5)^{2}\]

Answer 19

and use the fact that 25 = 5^2

Answer 20

\(\large \log_{2x-5} 25 = 2 \iff 25 = (2x-5)^2\)

\(\large 5^2 = (2x-5)^2\)

Answer 21

so its 5

Answer 22

since the exponents are equal, u can safely compare the bases :

\(\large 5 = 2x - 5\)

Answer 23

yes ! solving for x gives u x = 5

Answer 24

For the graphed function f(x) = (4)x - 1 + 2, calculate the average rate of change from x = 2 to x = 4.

Answer 25

I don't know how to put the picture

Answer 26

do u have the picture already ?

Answer 27

if so, just click "Attach File" right below this textbox

Answer 28

\(\large y = 4^{x-1}+2\)

Answer 29

start by finding the value of y at x = 2 and x = 4

Answer 30

\(\large y = 4^{x-1}+2\)

plugin x = 2, what do u get ?

Answer 31

6 and 66

Answer 32

Excellent !

use the formula for average rate of change : \(\large \dfrac{f(4)-f(2)}{4-2} = \dfrac{66-6}{2}\)

simplify

Answer 33

30

Answer 34

Yep !
hey next question please post in a separate thread... that way others get to see and answer quickly...

Answer 35

you may "Close this quesiton"
u will see that button right below ur question :)

@beccaboo333 please guide the new user if you're here :)

Answer 36

@uri