→ eksponen ←
36^(2014x - 1) = 9^x . 9^(2013x + 1)
(36^2014x)/36 = 9 . 9^(2013x + x))
(4^2014x . 9^2014x) / (9^2014x) = 36 . 9
4^2014x = 9². 2²
(2^2014x)^2 = (9 . 2)²
2^2014x = 3² . 2
log 2^2014x = log 3² + log 2
2014x log 2 - log 2 = 2 log 3
(2014x - 1) log 2 = 2 log 3
2014x - 1 = 2 log 3 / log 2
2014x = 1 + 2 log 3/log 2
2014x = 1 + 2 ²log 3
x = (1 + 2 ²log 3) / 2014
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→ eksponen ←
36^(2014x - 1) = 9^x . 9^(2013x + 1)
(36^2014x)/36 = 9 . 9^(2013x + x))
(4^2014x . 9^2014x) / (9^2014x) = 36 . 9
4^2014x = 9². 2²
(2^2014x)^2 = (9 . 2)²
2^2014x = 3² . 2
log 2^2014x = log 3² + log 2
2014x log 2 - log 2 = 2 log 3
(2014x - 1) log 2 = 2 log 3
2014x - 1 = 2 log 3 / log 2
2014x = 1 + 2 log 3/log 2
2014x = 1 + 2 ²log 3
x = (1 + 2 ²log 3) / 2014