I need help with this question I don’t understand it much?

Solve 2^x=32 and rewrite this equation in a logarithmic form

Thales was an ancient philosopher familiar with similar triangles. one story about him says that he found the height of a pyramid by measuring its shadow and his own shadow at the same time. if the person is 5-ft tall, what is the height of the pyramid in the drawing?

Find an equation of the line that has intercepts (1,0) and (0,4).