log10^x = 2a and log10^y = b/2 write 10^a in terms of x

log10^x = 2a and log10^y = b/2 write 10^a in terms of x

asked 2021-02-01
\(\displaystyle{{\log{{10}}}^{{x}}=}{2}{a}{\quad\text{and}\quad}{{\log{{10}}}^{{y}}=}\frac{{b}}{{2}}\) write \(\displaystyle{10}^{{a}}\) in terms of x

Answers (1)

so you havr \(\displaystyle{\log{{10}}}{\left({10}^{{x}}\right)}={2}{a}\)
if so, you have x=2a or a=x/2ZSK
\(\displaystyle{\log{{10}}}{\left({10}^{{y}}\right)}=\frac{{b}}{{2}}\) become \(\displaystyle{y}=\frac{{b}}{{2}}\) or b=2*y

Relevant Questions

asked 2021-02-14
Dayton Power and Light, Inc., has a power plant on the Miami Riverwhere the river is 800 ft wide. To lay a new cable from the plantto a location in the city 2 mi downstream on the opposite sidecosts $180 per foot across the river and $100 per foot along theland.
(a) Suppose that the cable goes from the plant to a point Q on theopposite side that is x ft from the point P directly opposite theplant. Write a function C(x) that gives the cost of laying thecable in terms of the distance x.
(b) Generate a table of values to determin if the least expensivelocation for point Q is less than 2000 ft or greater than 2000 ftfrom point P.
asked 2021-01-13
Which equation is equivalent to \(log y = 2x + 1\)?
(A) \(y = 10(100)^x\)
(B) \(y = 10^x\)
(C) \(y=e^2x+1\)
(D) \(y = e^2\)
asked 2020-11-23
If \(log 3 = A and log 7 = B\), find
\(log_7 9\)
in terms of A and B.
asked 2021-02-25
Write \(\log_3 \frac{1}{27x^{2}\) in the form a+b \(\log_3x\) where a and b are integers
asked 2021-01-31
Find the solution \(\displaystyle{\log{{\left({6}{x}+{10}\right)}}}=\frac{{\log{{\left({x}\right)}}}}{{\log{{\left(\frac{{1}}{{2}}\right)}}}}\)
asked 2021-02-18
Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation. \(\displaystyle{\log{{2}}}{\left({3}{x}−{1}\right)}={\log{{2}}}{\left({x}+{1}\right)}+{3}\)
asked 2020-10-25

Solve for X in the equation, given
\(3X + 2A = B\)
\(A=\begin{bmatrix}-4 & 0 \\1 & -5\\-3&2 \end{bmatrix} \text{ and } B=\begin{bmatrix}1 & 2 \\ -2 & 1 \\ 4&4 \end{bmatrix}\)

asked 2021-03-26
A pair of slits, separated by 0.150 mm, is illuminated by light having a wavelength of ? = 561 nm. An interference pattern is observed on a screen 122 cm from the slits. Consider a point on the screen located at y = 2.00 cm from the central maximum of this pattern.
(a) What is the path difference ? for the two slits at the location y?
(b) Express this path difference in terms of the wavelength.
asked 2020-12-25
Write a single logarithm. \(\displaystyle{2}{\ln{{x}}}+\frac{{1}}{{3}}{\ln{{\left({x}-{5}\right)}}}\)
asked 2021-02-02
Write the following in exponential form.