Rewrite the expression as an equivalent ratio of logs using the indicated base. log17(52.875) to base 10.

Expression   can be written as in form of ratio of log   .

Any logarithmic expression can we written as in form of ratio of log on base 10.

Here logarithmic expression is,   comparing with above expression.

We get,    

Substitute values of a and b in above expression.

 We get,      

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Step-by-step explanation:

Given

Required

Convert to base 10

To do this, we make use of the following logarithm laws;

In the given parameters;

Substitute these values in

Represent as a ratio

Hence;

is represented as

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.