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Exponential equation

Solve the following for x: 4(2^x)=56
in the order of operations Pemdas requires that exponentation takes precedence over multiplication, so we cannot multiply 4*2 without first evaluating 2^x, but we could divide both sides by 4. Also remember x is an exponent and we have to take logarithmic of both sides to bring the exponent down. Please help me with this. Thank you.

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set 2^x =y


4y = 56

Divide ...

Solution Summary

This shows how to solve an equation using exponents and logarithms.