Question

find the value of log40 base 12​

Answer 1

Answer:

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Step-by-step explanation:

what is this something you would like

Answer 2

Step-by-step explanation:

= log40 base 12

from the formula, log a base b = log a /log b ( both base 10)

= log 40 / log 12

= log 4*10 / log 4*3

from the formula, log a*b = log a + log b

= (log 4 + log 10) / ( log 4 + log 3)

as we know log 10 base 10 = 1,

= (log 2² + 1 ) / ( log 2² + log 3)

from the formula, log a^b = b log a,

= (2 log2 + 1) / (2log2 + log3)

since log 2 base 10 = 0.3010

log 3 base 10 = 0.4771

= ((2* 0.3010) +1) / ( (2*0.3010) + 0.4771)

= (0.602+1)/ (0.602 +0.4771)

= 1.602/1.0791

= 1.485