# The number of solution of the equation 3^(sin2x+2cos2x)+ 3^(1-sin2x+2sin2x)=28 in [0,2π]?

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The number of solution of the equation

#3^(sin2x+2cos2x)+
3^(1-sin2x+2sin2x)=28# For #x in [0,2π]#

The number of solution of the equation

##### 1 Answer

Apr 18, 2018

Zero

#### Explanation:

The maximum value of

is

is

On the other hand, the maximum possible value of

This means that the sum can not exceed