Mathematics Question and Solution
Calculating x.
2^(x)+8^(x) = 72
2^(x)+2^(3x) = 72
Let 2^(x) be p.
It implies;
p+p³ = 72
Using try and error approach to get p.
For p = 4
4+4³ = 4+64 = 68 (less than 72)
For p = 5
5+5³ = 5+125 = 130 (more than 72)
It implies, p will be a little above 4.
Therefore;
p = 4.08 approximately.
And 2^(x) = p
Calculating x.
2^(x) = 4.08
Taking log base 10 at both sides of the equality.
log(2^(x)) = log(4.08)
It implies;
xlog(2) = log(4.08)
x = log(4.08)/log(2)
x = 2.0285691522
