Philip P. answered • 07/18/18

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I assume the t is supposed to be an exponent:

V(t) = 1244.74 · 1.1439

^{t}Also it appears that V(t) is in units of millions of cell phones. 3.5 billion, then, will be 3500 million.

3500 = 1244.74· 1.1439

^{t}3500/1244.74 = 1.1439

^{t}To get the t out of the exponent, use logs:

log(3500/1244.74) = log(1.1439

^{t})log(3500/1244.74) = t·log(1.1439) [Log property: log(a

^{b}) = b log(a)]log(3500/1244.74)/log(1.1439) = t

Use your calculator to compute t. You can use any base log. Add t to 2014 to get the year (drop the decimals).