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Popular >

simplify ln(7sec(θ))+ln(4cos(θ))

Solution

simplify

ln (7 sec (θ)) + ln (4 cos (θ))

Solution

ln (28)

+1

Solution steps

ln (7 sec (θ)) + ln (4 cos (θ))

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (7 sec (θ)) + ln (4 cos (θ)) = ln (7 \cdot 4 sec (θ) cos (θ))

= ln (7 \cdot 4 sec (θ) cos (θ))

7 sec (θ) \cdot 4 cos (θ) = 28

= ln (28)

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Frequently Asked Questions (FAQ)

What is ln(7sec(θ))+ln(4cos(θ)) ?
The solution to ln(7sec(θ))+ln(4cos(θ)) is ln(28)