exam Maths Puzzle Numerical Ability

Find an approximate rational solution to 2x(2with exponent x) I tried to put in my TI89 as follows but it won�t give a decimal answer.
Solve(2^x=7,x)
Thanks!

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exam Other Question

Given y=3x^2+6x

Please explain the process in steps. Thanks!

A.) find the y-intercept
B.) find the x-intercepts (if any)
c.) find the vertex
D.) Sketch the parabola. How do I graph this using the intercept method...2x+3y=6