Question

I need help with finding out what x= to the following problem

1/3 log(x) - log (10)=1
x= ?

Answer 1

\[\large a.\log(x) = \log(x)^a\]

Answer 2

Hint:\[\
\frac{1}{3}\log(x)-\log(10)=1\\
\log(x^\frac{1}{3})-\log(10)=1
\]

Answer 3

Then use this formula:

\[\large \log(x) - \log(y) = \log(\frac{x}{y})\]

Answer 4

On right hand side you can write 1 as:

\[\large \color{green}{\log(0)}\]

Answer 5

I do not understand what x=

Answer 6

another solution :

\(log x -3 log 10 = 3\)

\(log x -log 10^3 = 3\)

\(log x/10^3 = log 10^3\)

\(x = 10^6\)

Answer 7

thank you

Answer 8

its correct. but my bad!! you can solve it even simpler way

Answer 9

log 10 = 1

Answer 10

could you try this way and confirm my answer ?