Which of the following is the value of  log86

, if  log2≈0.3010
 and  log43≈1.6335
?(1 point)
Responses

log86≈1.9345
logarithm 86 approximately equals 1.9345

log86≈0.4917
logarithm 86 approximately equals 0.4917

log86≈3.2670
logarithm 86 approximately equals 3.2670

log86≈1.3325
logarithm 86 approximately equals 1.3325

1 answer

To find the value of log86, we can use the change of base formula for logarithms:

log86 = log86 / log2

= log2^3 / log2

= 3log2 / log2

= 3

Therefore, log86 ≈ 3.2670.

So the correct response is:

log86≈3.2670
logarithm 86 approximately equals 3.2670