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Tutorial - Evaluate Logarithm with a Base 4 of 8 Without a Calculator

Tutorial - Evaluate Logarithm with a Base 4 of 8 Without a Calculator

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to evaluate logarithms without a calculator by converting the logarithmic expression into an exponential equation. The instructor demonstrates the use of the one-to-one property and power rule to solve the equation, ultimately finding the value of the unknown variable. The process is broken down into clear steps, making it easy to follow and understand.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when evaluating a logarithm like log base four of eight?

To find the base that gives eight when raised to a power

To determine the power to which four must be raised to get eight

To calculate the logarithm using a calculator

To convert the logarithm into a fraction

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you rewrite the expression log base four of eight in exponential form?

X to the power of 4 equals 8

8 to the power of X equals 4

4 times X equals 8

4 to the power of X equals 8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to solve the equation 4 to the X equals 8 by rewriting it with the same base?

One-to-One Property

Associative Property

Commutative Property

Distributive Property

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which base is used to rewrite the equation 4 to the X equals 8 for easier solving?

Base 10

Base 5

Base 2

Base 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for X when solving the equation 2 to the 2X equals 2 to the 3?

X equals 1.5

X equals 2

X equals 3

X equals 1

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