Rewrite each expression in an equivalent form that only contains one base 10 logarithm.
log5(12500)

Step-by-step explanation:

given,

log₅ (12500)

using logarithmic identity

logₐ a = 1                              

logₐ x³ = 3 logₐ x                    

log (ab) = log a + log b            

logₐ x =

now,                                    

log₅ (12500)                    

log₅ (5³ × 100 )                          

log₅ (5³) + log₅(100)                    

3 log₅ (5) + log₅ (10²)                      

3 + 2 log₅ (10)                              

hence, the required solution is given above.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: