Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

log⁡10\log 10

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Product property of logarithmsright chevron icon

Full solution

Q. log⁡10\log 10
  1. Identify base of logarithm: Identify the base of the logarithm in log⁡(10)\log(10). Since no base is specified, it is assumed to be base 1010, which is the common logarithm.
  2. Apply definition of common logarithms: Apply the definition of common logarithms to simplify log⁡(10)\log(10). The common logarithm of 1010 (log⁡\log base 1010 of 1010) is 11, because 101=1010^1 = 10.

More problems from Product property of logarithms

Question
A 13 km 13 \mathrm{~km} stretch of road needs repairs. Workers can repair 312 km 3 \frac{1}{2} \mathrm{~km} of road per week.\newlineHow many weeks will it take to repair this stretch of road?\newlineweeks
Get tutor helpright-arrow

Posted 10 months ago

Question
Liam opened a savings account and deposited $6000 \$ 6000 . The account earns 5% 5 \% in interest annually. He makes no further deposits and does not withdraw any money. In t t years, he has $8865 \$ 8865 in this account.\newlineWrite an equation in terms of t t that models the situation.
Get tutor helpright-arrow

Posted 10 months ago

Question
Samantha opened a savings account and deposited $8192 \$ 8192 . The account earns 10% 10 \% in interest annually. She makes no further deposits and does not withdraw any money. In t t years, she has $25,710 \$ 25,710 in this account.\newlineWrite an equation in terms of t t that models the situation.
Get tutor helpright-arrow

Posted 10 months ago

Question
The graph of a sinusoidal function intersects its midline at (0,−7) (0,-7) and then has a minimum point at (π4,−9) \left(\frac{\pi}{4},-9\right) .\newlineWrite the formula of the function, where x x is entered in radians.\newlinef(x)= f(x)=
Get tutor helpright-arrow

Posted 10 months ago

Question
The following formula is used in economics to find a company's gross profit rate P P , where S S is the net sales and C C is the cost of goods sold.\newlineP=S−CS P=\frac{S-C}{S} \newlineRearrange the formula to highlight the cost of goods sold.\newlineC=□ C=\square
Get tutor helpright-arrow

Posted 10 months ago

Question
3⋅50.2w=720 3 \cdot 5^{0.2 w}=720 \newlineWhat is the solution of the equation?\newlineRound your answer, if necessary, to the nearest thousandth.\newlinew≈ w \approx
Get tutor helpright-arrow

Posted 10 months ago

Question
18⋅25t=261 18 \cdot 2^{5 t}=261 \newlineWhat is the solution of the equation?\newlineRound your answer, if necessary, to the nearest thousandth.\newlinet≈ t \approx
Get tutor helpright-arrow

Posted 10 months ago

Question
−4⋅36w=−1750 -4 \cdot 3^{6 w}=-1750 \newlineWhat is the solution of the equation?\newlineRound your answer, if necessary, to the nearest thousandth.\newlinew≈ w \approx
Get tutor helpright-arrow

Posted 10 months ago

Question
20⋅73y=5 20 \cdot 7^{3 y}=5 \newlineWhat is the solution of the equation?\newlineRound your answer, if necessary, to the nearest thousandth.\newliney≈ y \approx
Get tutor helpright-arrow

Posted 10 months ago

Question
10⋅35t4=800 10 \cdot 3^{\frac{5 t}{4}}=800 \newlineWhat is the solution of the equation?\newlineRound your answer, if necessary, to the nearest thousandth.\newlinet≈ t \approx
Get tutor helpright-arrow

Posted 10 months ago

View all (3)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant