SOLUTION: Here is my question: 7^logx = 7 the answer is 10, but I am not quite sure what to do when the log is an exponent of 7. I'm also supposed to show a check of my answer. Than

Question 20616: Here is my question:
7^logx = 7
the answer is 10, but I am not quite sure what to do when the log is an exponent of 7. I'm also supposed to show a check of my answer.
Thanks
Sandy
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Recall this about logarithms:
If , the bases are the same, that is a = a, then the exponents are equal, therefore x = y. Applying this to your problem:
The bases are the same so the exponents are equal.
Change to exponential form.
Recall that log(x) is log to the base 10 of x:
Logarithmic form: y = log(x)...Exponential form: x = 10^y

So, x = 10
Check:

but log10 = 1

RELATED QUESTIONS
Hello, I am not really sure where to put this question...what topic it would fall... (answered by nerdybill,edjones)

I do not have a very large understanding of logarithms, and i can't solve the question: (answered by CharlesG2,Earlsdon)

Multiply -3*(-10)*(-7)= my guess here is -210 but I am not... (answered by jojo14344)

Okay, so I'm given the problem: Write the expression as a single logarithm with the... (answered by ewatrrr)

Hi, what is the log of log7 50= Sorry, I am not sure how to make the 7 a subscript. I (answered by Theo)

Here is my question: 1-logx = log(3x-1) I started with: 1 - logx = log3x - log 1... (answered by stanbon)

Please help! I do not understand logarithms - I think the answer here is -7, but I'm not (answered by Alan3354)

I understand the concepts behind natural logarithms and solving for an exponent, but on... (answered by Alan3354)

I need the help on Log Use the properties of logarithms to find the exact value of the (answered by nerdybill)