Question

breakdown and explanation please
solve for x.
log25x – log5 = 2


73 + x = 54

Answer 1

the second equation is not part of it sorry my mistake

Answer 2

you know that loga - logb = log(a/b) ?

Answer 3

ok

Answer 4

log25x – log5 = 2
log(25x/5) = 2
log(5x) = 2
{ when you see log(x) it means log base 10 of x,
when you see ln(x) it means log base e of x- if you didn't see 'e' yet , nevermind this }
so
\[\log_{10}(5x) = 2\]
\[5x = 10^2 \]

Answer 5

the last step explanation is you have a formula:
\[\log_{x}a = m \ \ =>\ \ a =m^x \]

Answer 6

ok so far I am kinda getting this but what formula is that for?

Answer 7

@SandeepReddy

Answer 8

we had
log(5x) = 2 in the above problem right
there
\[log_{10}(5x) = 2\]
you can see the similarity
\[log_{x}(a) = m\]

Answer 9

oops, i think I confused with the x in formula, did i? { tha't just formula }

Answer 10

im confused now haha

Answer 11

http://www.mathwords.com/l/logarithm_rules.htm

Answer 12

you can get it from this way
2 = log 100 because 10^2 =100
hence rewrite as
\(log(5x) = log (100)\) hence 5x =100, x=20