Question

log base 7 + log base x =2

Answer 1

Log(base 7) (X)=2

--------------------------------------…

Log(base 7) (X)=2

the rule is:
... Base raised to (the answer which is the exponent) = the # we're taking the log of

Therefore:
(base 7) raised to the exponent of 2 = the # "x"

7 ^4= x

(7)(7)(7)(7) = x
(49)(49) = x
2401 = x

----------------------------------

CHECK: x = 2,401

Log(base 7) (X) = 4
Log(base 7) (2,401) = 4
...use the Change of Base Formula to check the answer and see if it's right

Log(base 10) of the #
divided by
Log(base 10) of the base

Log(base 10) of 2,401
divided by
Log(base 10) of 7

3.38039216 / 0.84509804 = 4

4 = 4 ...TRUE

Therefore x = 2,401

------------------------------------

FINAL ANSWER:

x = 2, 401

Answer 2

rohangrr-- the correct answer is 100/7. I just wanted to know how to get there....thanks!!! You see, I have the answers to the equations, but I have to know how to work them.