Respuesta :
Answer:
0.753
Step-by-step explanation:
I just took the test lol
The value of log₃(⁷/₁₆) when log₃4 = 1.262 and log₃7 = 1.771 is;
log₃(⁷/₁₆) = -0.753
We are given;
log₃4 = 1.262
log₃7 = 1.771
We want to find log₃(⁷/₁₆)
Now, from properties of logarithm too, we have;
logₐ(x/y) = logₐx - logₐy
Thus; log₃(⁷/₁₆) = log₃7 - log₃16
Also, we know that; logₐx² = 2logₐx
Thus; log₃16 = log₃4²
log₃16 = 2log₃4
Thus; log₃(⁷/₁₆) = log₃7 - 2log₃4
Plugging in the relevant values gives;
1.771 - 2(1.262) = -0.753
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