Question

Ifx=log, 243, y=log, 64, then x 1-2 ſy is​

Answer 1

Step-by-step explanation:

In the first you do not need the calculator.

Consider:

log

4

(

64

)

=

x

use the definition of log...what is the number

x

you need to raise

x

to get

64

?

or:

4

x

=

64

you can see that is

3

in fact

4

3

=

64

so

x

=

3

Also the second do not require the calculator in fact you know that

3

5

=

243

so you can write:

log

3

(

3

5

)

=

2

x

+

1

use again the definition of log:

3

5

=

3

2

x

+

1

so that:

5

=

2

x

+

1

x

=

4

2

=

2