3 years ago

How to solve a log equation with variable in the exponent?

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Example...

4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)

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Kitty [74]

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3 years ago

The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.

storchak [24]

$\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}$