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Nikitich [7]
2 years ago
7

Condense the expression to the logarithm of a single quantity.

Mathematics
1 answer:
kherson [118]2 years ago
3 0

\dfrac 12 \log_3 x - 2\log_3 (y +8)\\ \\=\log_3 x^{\tfrac 12}- \log_3(y+8)^2~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log_3 \left( \dfrac {x^{\tfrac 12}}{y+8)^2} \right)~~~~~~~~~~~~~~~~~~~~~~~~;\left[\log_b \left( \dfrac mn \right) = \log_b m - \log_b n \right]

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Answer:

The smaller angle is 35 and the larger one is 145.

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In order to find this, we need to express the larger angle in terms of the smaller angle (x).

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Now that we have this, we can add them together and set equal to 180.

x + (4x + 5) = 180

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