1. \log(AB)=\log(A)+\log(B) 2. \frac{\log(A)}{\log(B)}=\log(A)-\log(B) 3. \ln(A)\ln(B)=\ln(A)+\ln(B) 4. \log(\sqrtA)=\frac{1}{2} \log(A) 5. p \times \ln(A)=\ln(A^p) 6. \sqrt{\ln(A)}=\ln(A^{(1/2)})

Alan Smith

Alan Smith

Answered question

2021-12-22

1. log(AB)=log(A)+log(B)
2. log(A)log(B)=log(A)log(B)
3. ln(A)ln(B)=ln(A)+ln(B)
4. log(A)=12log(A)
5. p×ln(A)=ln(Ap)
6. ln(A)=ln(A(12))

Answer & Explanation

sirpsta3u

sirpsta3u

Beginner2021-12-23Added 42 answers

The objective 1s to determine whether each equation is true or not from the following equations:
1. log(AB)=log(A)+log(B)
The formula of logarithm multiplication is given by.
log(xy)=log(x)+log(y)
Hence, the equation is true.
log(B)log(A)=log(A)log(B)
The formula of logarithm division is given by,
log(AB)=log(A)log(B)
Hence, the equation is false.
Jonathan Burroughs

Jonathan Burroughs

Beginner2021-12-24Added 37 answers

3. ln(A)ln(B)=ln(A)+ln(B)
The formula of natural logarithm multiplication is given by,
ln(yx)=ln(x)+ln(y)
Hence, the equation is false.
4. log(A)=12log(A)
The formula of logarithm power rule is given by,
log(xn)=nlog(x)
log(A)=log(A12)
=12log(A)
Hence, the equation is true.
karton

karton

Expert2021-12-30Added 613 answers

5. p×ln(A)=ln(Ap)
The formula of natural logarithm power rule is given by,
ln(xn)=nln(x)
Hence, the equation is true.
6. ln(A)=log(A1/2)
The formula of natural logarithmn rule is given by,
ln(xn)=nln(x)
ln(A)=ln(A))1/2
=12ln(A)
ln(A1/2)

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