Question

Log a to base 2 = 3, log b to base 3 = 2, log c to the base 4 = 1 find the value of 3a 2b - 10c

Answer 1

Answer:

$\displaystyle{\rightarrow 284}$

Step-by-step explanation:

$\displaystyle{\log_2a=3}\\\\\\\displaystyle{\log_3b=2}\\\\\\\displaystyle{\log_4c=1}$

Converting them into exponent form :

$\displaystyle{2^3=a}\\\\\\\displaystyle{\rightarrow a=8}\\\\\\\displaystyle{3^2=b}\\\\\\\displaystyle{\rightarrow b=9}\\\\\\\displaystyle{4^1=c}\\\\\\\displaystyle{\rightarrow c=4}$

Now value of  ( 3 a . 2 b - 10 c )

$\displaystyle{\rightarrow (3\times8\times2\times9)-(10\times4)}\\\\\\\displaystyle{\rightarrow 324-40}\\\\\\\displaystyle{\rightarrow 284}$

Hence we get required answer.