Understanding and solving exponential equations.

Solve for x:

10^x + 6(10^-x) = 7

and also:

3^3x+2 * 8^-x = 4

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.../y = 7
After simplification: y^2 - 7y + 6 = 0
y = 6, y = 1
When y = 6, 10^x = 6
Using logarithm to solve the equation, ln10^x = ln 6
x ...