SOLUTION: Log4260 = log4(4^x + 3 plus 4^x) please note the 4 in the log 4260 is small and the 4 in the log4 is also small HOw to get to the answer of x = 1?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Log4260 = log4(4^x + 3 plus 4^x) please note the 4 in the log 4260 is small and the 4 in the log4 is also small HOw to get to the answer of x = 1?      Log On


   

Question 133253: Log4260 = log4(4^x + 3 plus 4^x)
please note the 4 in the log 4260 is small and the 4 in the log4 is also small
HOw to get to the answer of x = 1?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given: Log4(260) = log4(4^x + 3 plus 4^x)
Thus +260+=+4%5E%28x+%2B+3%29+%2B+4%5Ex+
+260+=+4%5E%28x%29%2A4%5E3+%2B+4%5Ex+
+260+=+4%5Ex+%2A+%284%5E3+%2B+1%29+
+260+=+4%5Ex+%2A+%2864+%2B+1%29+
+260+=+4%5Ex+%2A+%2865%29+
+4+=+4%5Ex+
x = 1