Logarithms - Meaning, Words to Equation as Question Mark (Decimals) (Level 1) - Mobius Math Academy

Meaning, Words to Equation as Question Mark (Decimals) (Level 1)

This math topic focuses on introducing logarithms through questions that prompt learners to determine which logarithmic equation corresponds to a given verbal expression regarding base and result. Each problem typically involves finding out which base should be raised to a particular power to yield a specific decimal result, then translating this situation into the correct logarithmic equation form. The problems facilitate understanding the meaning and formulation of logarithms in various contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Logarithms - Meaning, Words to Equation as Question Mark (Decimals) Worksheet

Logarithms - Meaning, Words to Equation as Question Mark (Decimals)

What number would you raise 10 by to result in 257?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub ? 10 = 257$

b $A LaTex expression showing \log sub 257 ? = 10$

c $A LaTex expression showing \log sub ? 257 = 10$

d $A LaTex expression showing \log sub 10 257 = ?$

What number would you raise 4 by to result in 285?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub 4 285 = ?$

b $A LaTex expression showing \log sub 285 4 = ?$

c $A LaTex expression showing \log sub 285 ? = 4$

What number would you raise 8 by to result in 74?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub 74 ? = 8$

b $A LaTex expression showing \log sub 8 74 = ?$

c $A LaTex expression showing \log sub ? 74 = 8$

d $A LaTex expression showing \log sub 74 8 = ?$

What number would you raise 5 by to result in 312?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub ? 312 = 5$

b $A LaTex expression showing \log sub 312 5 = ?$

c $A LaTex expression showing \log sub ? 5 = 312$

d $A LaTex expression showing \log sub 5 312 = ?$

What number would you raise 7 by to result in 75?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub ? 75 = 7$

b $A LaTex expression showing \log sub 75 7 = ?$

c $A LaTex expression showing \log sub ? 7 = 75$

d $A LaTex expression showing \log sub 7 75 = ?$

e $A LaTex expression showing \log sub 75 ? = 7$

What number would you raise 9 by to result in 287?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub 287 ? = 9$

b $A LaTex expression showing \log sub 9 287 = ?$

c $A LaTex expression showing \log sub ? 9 = 287$

What number would you raise 9 by to result in 82?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub ? 9 = 82$

b $A LaTex expression showing \log sub ? 82 = 9$

c $A LaTex expression showing \log sub 9 82 = ?$

d $A LaTex expression showing \log sub 82 ? = 9$

What number would you raise 7 by to result in 257?

Which logarithm equation answers this?

a $A LaTex expression showing \log sub 7 257 = ?$

b $A LaTex expression showing \log sub 257 7 = ?$

c $A LaTex expression showing \log sub ? 7 = 257$