If log 2 = ( 0.3010 ), log 3 = ( 0.4771 ) and log 5 = ( 0.6990 ) then find the value of the following: log the answer is ( 1.3801 ) i have it from book, just prove it !

1. 3801

Step-by-step explanation:

Log 24 = Log(8x3)

From the laws of Logarithm

Log ( a xb) = Log a + Log b

so, Log (8x3) = Log8 + Log 3

Also Log 8 can be written as Log since is still 8 , so the expression becomes

Log + Log 3

⇒ 3 Log 2 + Log 3

since the value of Log 2 and Log 3 has been given , substitute into the expression , we have

3 (0.3010) + 0.4771

= 0.903 + 0.4771

= 1.3801

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: