Question

2 log 50= 3 log 25+ log (x-2) (can anyone help)

Answer 1

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

Answer 2

i still dont understand can help me solve this problem

Answer 3

apply the first rule above to the left side and to the first term of the right side
log (50^2) = log (25^3) + log (x-2)

Answer 4

log 2500 for 50^2

Answer 5

Now apply the second rule to teh right side:
log (50^2) = log [(25^3)(x - 2)]
Now you have log a = log b, which means a = b, so:
50^2 = (25^3)(x - 2) and no more logs. Can you finish it now?

Answer 6

so all i have to do is combine this problem together and ill have the answer 50^2 = (25^3)(x - 2)

Answer 7

First divide both sides by 25^3 and solve for x

Answer 8

625

Answer 9

@mathstudent55 is it 625

Answer 10

@Geckoh2o can you help with the next step