- #1

- 294

- 4

5

^{x}= 4

^{x}+ 1

x = 1 is clearly an answer, but I get struck when trying to solve using logs.

If I take log

_{5}of both sides I get,

x = log

_{5}( 4

^{x}+ 1) and of course you don't distribute the log function. So how does one solve this?