Logarithm question (1 Viewer)

[mtsmahia]

Can someone help with this sum

Find the value of x

log(10) 2 + log(10) x = 2


answer is 50...can someone explain how it works?


thanks

 

[tommykins]

log10 2x = 2 ----- log laws
2x = 10^2
x = 10^2/2 = 100/2 = 50.

 

[mtsmahia]

log10 2x = 2 ----- log laws
2x = 10^2
x = 10^2/2 = 100/2 = 50.

how did u get 2x= 10^2 (where did the log go?)

 

[suzlee]

how did u get 2x= 10^2 (where did the log go?)

That's the law ..

You have to learn how to rearrange the log form into indice form

 

[lyounamu]

how did u get 2x= 10^2 (where did the log go?)

You can get rid of log by introducing the power of that.

For example, if you have

log10(100) = x
100 = 10^x
so x=2

 

[mtsmahia]

That's the law ..

You have to learn how to rearrange the log form into indice form

oh crap--im an idiot ...never thought about that--

thanks

 

[studentcheese]

The general definition of a logarithm:

{(log base a)y} = x

can be rearranged into indice form

a^x = y

I think that's what it is.