00:03
So we are asked to solve and we're given 4 to the 4x minus 7 equals 3 to the 9x minus 6.
00:24
So i have a variable that's an exponent so i have to use logs.
00:29
So i'm going to take the log of both sides, log of 4.
00:35
And i'm going to bring my exponent out front.
00:37
So i'm going to have 4x minus 7 equals log.
00:46
Oh, 9x minus 6, log of 3.
00:57
Now, the log of 4 is 0 .6, and i rounded that.
01:02
So my answer is maybe a little bit different because of rounding.
01:06
So log of 4 is 0 .6 times 4x minus.
01:13
7 equals and log of 3 is 0 .48 times 9x minus 6...