How do you solve #16^v=67#?

1 Answer
Oct 27, 2016

Answer:

#v ~~ 1.516522#

Explanation:

An important equivalence you need to remember:
#color(white)("XXX")color(red)(log_b a = c)# is equivalent to #color(red)(b^c=a)#

#color(blue)(16^v = 67)# means #color(blue)(log_16 67 = v)#

You should be able to use a calculator or spreadsheet to evaluate:
#color(white)("XXX")color(blue)(v=log_16 67 ~~1.516522)#