MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Exponent

If ax=b, by=c...

Question

If $a^{x} = b, b^{y} = c a n d c^{z} = a$ then $x y z = 1$

A

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

Given: $a^{x} = b, b^{y} = c a n d c^{z} = a$

$a^{x} = b$

Raising both sides to the power $y z$ we get

$a^{x y z} = b^{y z}$

= $(b^{y})^{z}$

= $c^{z}$

= $a$

Since` $a^{x y z} = a$ , we get $x y z = 1$

Suggest Corrections

thumbs-up

56

Similar questions

State true or false:

a^{x} = b, b^{y} = c

c^{z} = a

x y z = 1

.

a^{x} = b, b^{y} = c, c^{z} = a

x y z = ?

a^{x} = b, b^{y} = c, c^{z} = a

x y z = 1

a^{x} = \sqrt{b}, b^{y} = \sqrt[3]{c}

c^{z} = \sqrt{a}

then the value of

x y z

a^{x} = b, b^{y} = c, c^{z} = a,

, then the value of

x y z

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction to Indices

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon