Question

Solve for x: 2700=300•2^10x Check all that apply.Options are in image above

Answer 1

Answer:

B and C

Step-by-step explanation:

$300 \times {2}^{10x} = 2700 \\ {2}^{10x} = \frac{2700}{300} = \frac{27}{3} = 9 \\ {2}^{10x} = 9 \\ log( {2}^{10x} ) = log(9) \\ 10x \times log(2) = log(9) \\ (10 log(2) )x = log(9) \\ x = \frac{ log(9) }{10 \times log(2) }$

However, if you replace log with ln you can easily reach to the following solution as well.

$x = \frac{ ln(9) }{10 \times ln(2) }$