exam Maths Puzzle Numerical Ability

Please help me with this problem:
Let f(x)=ln(x^2) for x > 0 and g(x)=e^(2x) for x is greater than or equal to 0. Let H be the composition of f with g, that is, H(x)=f(g(x)), and

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Will someone please help me with this problem?
Find the exact, rationalized value of tan 105 degrees.
Thank you, Ray
In using esponential and logarithmic equations, could you help with these
problems?
#1 log(2x with power of 2 + 3x)=log(10x + 30).

#2 log lower case 7(5x) - log lower case 7(3