Question

logarithmic question; problem inside

Answer 1

\[\log _{3}3 + \log _{3}x = 5\]

Answer 2

what?

Answer 3

oh i did.

Answer 4

use the property
log(a) + log(b)= log(a*b)

(if the logs have the same base)

Answer 5

once you combine the two logs into one log, you have the same problem as some of the others. solve by making each side the exponent of the base 3

Answer 6

x = 81?

Answer 7

yes. Is the process clear how to solve this one ?

Answer 8

we could solve this one a different way, because we know log_3 (3) = 1
(normally we cannot do the log in our head)
so the problem is
1+log_3(x) =5
add -1 to both sides
log_3(x)= 4
make each side the exponent of 3 (this gets rid of the log)
x = 3^4 = 81