Question

If x does not equal 0 and 1/x, log10x, x^3 are in GP, which of the following are true?
1) log x = x-1
2)log 10 x= x^2

Answer 1

@mathmath333

Answer 2

what do u know about geometric mean

Answer 3

if \(a,b~and~c\) are in geometric progreassion then
\(\dfrac{b}{a}=\dfrac{c}{b}\)

Answer 4

that's correct

Answer 5

apply the same to your variables

Answer 6

how does that help with finding x tho

Answer 7

we dont want to find x ,we just have to check if the options are correct or not

Answer 8

so how do I apply them

Answer 9

\(\large\tt \begin{align} \color{black}{\dfrac{1}{x},log 10x, x^3\\~\\
a,b,c
}\end{align}\)



\(\large\tt \begin{align} \color{black}{a=\dfrac{1}{x},b=log 10x,c= x^3\\~\\

}\end{align}\)

Answer 10

oh right

Answer 11

log10x^2 = x^2

Answer 12

therefore log 10x = x

Answer 13

so can u simplify it further

Answer 14

\(log(ab)=log(a)+log(b)\)

Answer 15

1+x^2?

Answer 16

what is \[\log{10x} \]

Answer 17

x

Answer 18

\[\log(10x)=\log10+\log x\]btw what is the base of the log

Answer 19

base 10

Answer 20

ok so u got the answer ?

Answer 21

no I don't get it what is it

Answer 22

\[we~found ~that~[\log(10x)=x]\]

Answer 23

yes but which option confirms it

Answer 24

\[\log_{10} 10+\log_{10} x=x\]

Answer 25

what is \[\log_{10} 10=\]

Answer 26

http://www.wolframalpha.com/input/?i=log_a+a%3D

Answer 27

1 no I get it but im not sure whichanswer it hints to

Answer 28

\(1\)+\(logx\)=\(x\)

Answer 29

i think it is equivalent to option \(a.\)

Answer 30

i mean option \(1.\)

Answer 31

Just solve for \(\log(x)\) now, lol.