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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions