AM-286

Exponential and logarithmic equations

A Math · Secondary 3 · Hard · Exponential and logarithmic equations

Solve the equation

3^{x} + 3^{-x} = 4

.

$x = \log_3(2+\sqrt3)$ or $x = \log_3(2-\sqrt3)$
$x = \log_3(4)$ only
$x = 2$ or $x=-2$
No real solutions

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