SOLUTION: log base5 x=30 The value of x is? is it 15?

Question 86946: log base5 x=30
The value of x is?
is it 15?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.

.
Solve for x
.
You can convert this problem to exponential form to solve it. The conversion between
logarithmic and exponential form is done according to the following relationship:
.
is equivalent to the exponential form
.
Remember this relationship. It's quite useful in solving logarithmic problems.
.
If you compare what you are given to the log form you can see that b = 5, C = 30, and A = x.
.
Now substitute these values into the exponential form and you get:
.

.
So and that is a pretty big number. You can use a calculator to find that
is approximately
.
These are answers that you are looking for. Let's work a similar problem with smaller numbers
just for practice. Suppose the problem had been:
.

.
You solve for x by converting this log form to exponential form. In this case b = 5,
C = 3, and A = x. Substituting these values into the exponential form results in:
.

.
and 5 cubed is 5*5*5 = 125. So for this problem, x would be 125, and you can now write:
.

.
Hope this helps you to understand the problem a little better
.

RELATED QUESTIONS
What is the single logarithm of 3 log base5 y+3 (log base5 x 3 log base5 w) (answered by Alan3354)

What is the answer of log base5 (x+2) = -log base5 (x) thank... (answered by lwsshak3)

Solve the following logarithmic equation.... (answered by lwsshak3)

What is the x intercept of log (base5)... (answered by swincher4391)

Find the largest value of x that satisfies: log(base5) (x^2) − log(base5) (x+2)... (answered by jim_thompson5910)

what is the anser to all are in bases of 5 log(base5) (5X-27) = log(base5) 12 -... (answered by stanbon)

Please solve! Log base5 (6x-7) + log base5 x = 1 (answered by scott8148)

2 log (base5)x= 3 log... (answered by lwsshak3)

log(base5) x - log(base5)(x-2)= log(base5) 4 Many... (answered by jim_thompson5910)