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A day full of math games & activities. Find one near you.
Solution:
Given expression is
log11(y + 8) + log114 = log1160.
Logaxy = logax + logay
Therefore we can state:
log11(y + 8) + log114 = log11[(y + 8) × 4]
Since log11(y + 8) + log114 = log1160,
log114(y + 8) = log11 60
Which implies
4(y + 8) = 60
y + 8 = 60/4
y + 8 = 15
y = 15 - 8
y = 7
Summary:
Solving log11(y + 8) + log114 = log1160, we obtain y = 7