Complete the steps to evaluate log798, given log72 ≈ 0.356. how can you rewrite log798 using the product property?

Sagot :

The expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex].

What is a logarithm?

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that [tex]\rm log_{7} 2[/tex] = 0.356

We can write [tex]\rm log_{7} 98[/tex] in terms of  [tex]\rm log_{7} 2[/tex]

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

In logarithm, the product will change in addition

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

= [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Hence, the expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Learn more on logarithm here:

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Answer:

log7 2 + log7 49

log7 49= 2

Step-by-step explanation:

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