Question 634606
Solve the following exponential equations:
a) 7^x=49
7^x=7^2
x=2
..
b) 243 = 9^(2x+1)
3^5=3^2^(2x+1)
3^5=3^(4x+2)
4x+2=5
4x=3
x=3/4
..
c) 2^2x * 4^(4x +8) = 64
2^2x * 2^2(4x+8) =2^6
2^2x*2^(8x+16)=2^6
2^(10x+16)=2^6
10x+16=6
10x=-10
x=-1
..
d)9^(x-1) * 81 ^(2x-1) = 27^(3x-2)
9^(x-1) * 9^2 ^(2x-1) = 3^3^(3x-2)
9^(x-1) * 9^(4x-2) = 3^3^(3x-2)
3^2^(x-1) * 3^2 ^(4x-2) = 3^3^(3x-2)
3^(2x-2)*3^(8x-4)=3^(9x-6)
3^(10x-6)=3^(9x-6)
10x-6=9x-6
x=0